In [ ]:
import matplotlib.pyplot as plt
from matplotlib.colors import LinearSegmentedColormap
import numpy as np
import pyvista as pv

# Définir les couleurs du bas au haut de la colormap de l'image
colors = [
    (75/255, 0, 130/255),   # indigo
    (0, 0, 255/255),        # bleu
    (0, 255/255, 0),        # vert
    (255/255, 255/255, 0),  # jaune
    (255/255, 127/255, 0),  # orange
    (255/255, 0 , 0),        # rouge
    (148/255, 0, 211/255),  # violet
    (1, 1, 1)               # blanc

]

cmap_name = 'custom_gradient'

# Créer la colormap
custom_cmap = LinearSegmentedColormap.from_list(cmap_name, colors, N=256)


# Afficher la colormap dans Matplotlib
plt.imshow(np.linspace(0, 1, 256)[None, :], aspect='auto', cmap=custom_cmap)
plt.colorbar()
plt.show()
No description has been provided for this image
In [ ]:
import os
import feelpp
from feelpp.toolboxes.cfpdes import *
from tools.lap2D_pinns import Run_laplacian2D, Poisson_2D, PoissonDisk2D
from scimba.equations import domain

class Poisson:
  """
  Solves the problem
  -Laplacian u = f   in Omega
  u            = g   in boundary
  
  - with f,g are set by the user
  """
  def __init__(self, dim=2, order=1):

    self.dim   = dim
    self.model = dict()
    self.order = order
  
  def genCube(self, filename, h=0.1):
    """
    Generate a cube geometry following the dimension  self.dim
    """

    
    geo="""SetFactory("OpenCASCADE");
    h={};
    dim={};
    """.format(h, self.dim)
    
    if self.dim==2 :
        geo+="""
        Rectangle(1) = {0, 0, 0, 1, 1, 0};
        Characteristic Length{ PointsOf{ Surface{1}; } } = h;
        Physical Curve("Gamma_D") = {1,2,3,4};
        Physical Surface("Omega") = {1};
        """
    elif self.dim==3 :
        geo+="""
        Box(1) = {0, 0, 0, 1, 1, 1};
        Characteristic Length{ PointsOf{ Volume{1}; } } = h;
        Physical Surface("Gamma_D") = {1,2,3,4,5,6};
        Physical Volume("Omega") = {1};
        """
    with open(filename, 'w') as f:
        f.write(geo)

  
  
  def __call__(self,
               h,                                       # mesh size 
               order=1,                                 # polynomial order 
               name='Potential',                        # name of the variable u
               rhs='8*pi*pi*sin(2*pi*x)*sin(2*pi*y)',   # right hand side
               diff='{1,0,0,1}',                        # diffusion matrix
               g='0',
               geofile=None,
               plot=None,
               solver='feelpp'):
    """
    Solves the problem where :
    - h is the mesh size
    - order the polynomial order
    - rhs is the expression of the right-hand side f(x,y)
    """
    self.pb    = cfpdes(dim=self.dim, keyword=f"cfpdes-{self.dim}d-p{self.order}")
    self.model = {
      "Name": "Laplacian",
      "ShortName": "Laplacian",
      "Models":
      {
        f"cfpdes-{self.dim}d-p{self.order}":
        {
          "equations":"poisson_eq"
        },
        "poisson_eq":{
          "setup":{
            "unknown":{
              "basis":f"Pch{order}",
              "name":f"{name}",
              "symbol":"u"
            },
            "coefficients":{
              "c": f"{diff}:x:y" if self.dim == 2 else f"{diff}:x:y:z",
              "f": f"{rhs}:x:y"  if self.dim == 2 else f"{rhs}:x:y:z"
            }
          }
        }
      },
      "Materials":
      {
        "Omega":
        {
          "markers":["Omega"]
        }
      },
      "BoundaryConditions":
      {
        "poisson_eq":
        {
          "Dirichlet":
          {
            "g":
            {
              "markers":["Gamma_D"],
              "expr":f"{g}:x:y"
            }
          }
        }
      },
      "PostProcess":
      {
        f"cfpdes-{self.dim}d-p{self.order}":
        {
          "Exports":
          {
            "fields":["all"],
            "expr":{
              "rhs"    : f"{rhs}:x:y" if self.dim == 2 else f"{rhs}:x:y:z"
            }
          }
        }
      }
    }

    fn = None
    if geofile is None:
      fn = f'omega-{self.dim}.geo'
      self.genCube(fn, h)
    else:
      fn = geofile
    
        
##________________________

    if solver == 'feelpp':
      print(f"Solving the laplacian problem for hsize = {h}...")
      feelpp_mesh = feelpp.load(feelpp.mesh(dim=self.dim, realdim=self.dim), fn, h)
      self.pb.setMesh(feelpp_mesh)
      self.pb.setModelProperties(self.model)
      self.pb.init(buildModelAlgebraicFactory=True)
      self.pb.printAndSaveInfo()
      self.pb.solve()
      self.pb.exportResults()
      #measures = self.pb.postProcessMeasures().values()
      """
      try:
        import pandas as pd
        df=pd.DataFrame([measures])
        print(df)
      except ImportError:
        print("cannot import pandas, no problem it was just a test")
    """
##______________________
      #mesh = self.pb.mesh()
      #function_space = self.pb.functionSpace()
      #dofs = function_space.dofs()
##________________________
      #return mesh, dofs
##________________________

    elif solver == 'scimba':
      print("Solving using Scimba")
      # Define a disk domain
      if geofile == 'geo/disk.geo' :
        xdomain = domain.SpaceDomain(2, domain.DiskBasedDomain(2, center=[0.0, 0.0], radius=1.0))
        pde_disk = PoissonDisk2D(xdomain,  rhs= rhs, g= g)
        Run_laplacian2D(pde_disk)

      # Define a square domain
      elif geofile == None:
        xdomain = domain.SpaceDomain(2, domain.SquareDomain(2, [[0.0, 1.0], [0.0, 1.0]]))
        pde = Poisson_2D(xdomain,  rhs= rhs, g= g)
        Run_laplacian2D(pde)
##________________________

    # Plots
    if plot != None:
      
      from xvfbwrapper import Xvfb
      import pyvista as pv 
      import matplotlib.pyplot as plt


      #vdisplay = Xvfb()
      #vdisplay.start()
      pv.set_jupyter_backend('static') 
      pv.start_xvfb()

      mesh = pv.get_reader(f"cfpdes-{self.dim}d-p{self.order}.exports/Export.case").read()
      
      pl = pv.Plotter(shape=(1,2))
      pl.add_title(f'Solution P{order}', font_size=18)
      pl.add_mesh(mesh[0], scalars = f"cfpdes.poisson_eq.{name}", cmap=custom_cmap)
      pl.subplot(0,1)
      pl.add_title('f=' + rhs, font_size=18)
      pl.add_mesh(mesh[0].copy(), scalars = 'cfpdes.expr.rhs', cmap=custom_cmap)
      pl.link_views()

      if self.dim ==3:
        pl.view_isometric()
      else:
        pl.view_xy()  # if mesh_2D is on the xy plane.        
      
      pl.show()
      pl.screenshot(plot)

    
Using device: cpu
torch loaded; device is cpu
In [ ]:
import sys
import feelpp
import feelpp.toolboxes.core as tb

# mandatory things
sys.argv = ["feelpp_app"]
e = feelpp.Environment(sys.argv,
                       opts=tb.toolboxes_options("coefficient-form-pdes", "cfpdes"),
                       config=feelpp.localRepository('feelpp_cfpde'))

# ------------------------------------------------------------------------- #
# Poisson problem
# - div (diff * grad (u)) = f    in Omega
#                     u   = g    in Gamma_D
# Omega = domain, either cube or ball
# Approx = lagrange Pk of order order
# mesh of size h
[ Starting Feel++ ] application feelpp_app version 0.1 date 2024-May-21
 . feelpp_app files are stored in /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1
 .. logfiles :/workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/logs
In [ ]:
# 2D with varying RHS
P = Poisson(dim = 2)
P(h=0.08,  rhs='-1.0-1*y*x+y*y', g='0', order=1, geofile='geo/disk.geo', plot='2d.png')
P(h=0.08,  rhs='-1.0-1*y*x+y*y', g='0', order=1, geofile='geo/disk.geo', solver='scimba')


P(h=0.1,  rhs='-1.0-2*y*x+y*y', g='0', order=1, plot='f2.png')
P(h=0.1,  rhs='-1.0-2*y*x+y*y', g='0', order=1, solver ='scimba')
Solving the laplacian problem for hsize = 0.08...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/geo/disk.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/geo/disk.geo 0.08 
+--------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-2d-p1 - Use Case Study                                                                                                           |
+--------------------------------------------------------------------------------------------------------------------------------------------------+
| +--------------------------------------------------------------------------------------+                                                         |
| | Environment                                                                          |                                                         |
| +--------------------------------------------------------------------------------------+                                                         |
| |  prefix              : cfpdes                                                        |                                                         |
| |  keyword             : cfpdes-2d-p1                                                  |                                                         |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                         |
| |  number of processus : 1                                                             |                                                         |
| +--------------------------------------------------------------------------------------+                                                         |
| +---------------------------+                                                                                                                    |
| | Materials Properties      |                                                                                                                    |
| +---------------------------+                                                                                                                    |
| |  number of materials : 1  |                                                                                                                    |
| +---------------------------+                                                                                                                    |
| +------------------------------------------------+                                                                                               |
| | Meshes                                         |                                                                                               |
| +------------------------------------------------+                                                                                               |
| | +--------------------------------------------+ |                                                                                               |
| | | Mesh : cfpdes-2d-p1                        | |                                                                                               |
| | +--------------------------------------------+ |                                                                                               |
| | |  Discretization : /Mesh/object-17          | |                                                                                               |
| | | +----------------------------------------+ | |                                                                                               |
| | | | Import configuration                   | | |                                                                                               |
| | | +----------------------------------------+ | |                                                                                               |
| | | |  geo-filename          :               | | |                                                                                               |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                               |
| | | |  generate-partitioning : 0             | | |                                                                                               |
| | | +----------------------------------------+ | |                                                                                               |
| | | +-------------------------------+          | |                                                                                               |
| | | | Discretization                |          | |                                                                                               |
| | | +-------------------------------+          | |                                                                                               |
| | | |  dim         : 2              |          | |                                                                                               |
| | | |  h_average   : 1.012276e-01   |          | |                                                                                               |
| | | |  h_max       : 1.349240e-01   |          | |                                                                                               |
| | | |  h_min       : 8.067356e-02   |          | |                                                                                               |
| | | |  n_elements  : 757            |          | |                                                                                               |
| | | |  n_faces     : 1167           |          | |                                                                                               |
| | | |  n_partition : 1              |          | |                                                                                               |
| | | |  n_points    : 411            |          | |                                                                                               |
| | | |  order       : 1              |          | |                                                                                               |
| | | |  real_dim    : 2              |          | |                                                                                               |
| | | |  shape       : Simplex_2_1_2  |          | |                                                                                               |
| | | +-------------------------------+          | |                                                                                               |
| | +--------------------------------------------+ |                                                                                               |
| +------------------------------------------------+                                                                                               |
| +----------------------------------+                                                                                                             |
| | Algebraic Solver                 |                                                                                                             |
| +----------------------------------+                                                                                                             |
| | +-------------------+            |                                                                                                             |
| | | Backend           |            |                                                                                                             |
| | +-------------------+            |                                                                                                             |
| | |  prefix : cfpdes  |            |                                                                                                             |
| | |  type   : petsc   |            |                                                                                                             |
| | +-------------------+            |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | | KSP                         |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | |  atol       : 1.000000e-50  |  |                                                                                                             |
| | |  dtol       : 1.000000e+05  |  |                                                                                                             |
| | |  maxit      : 1000          |  |                                                                                                             |
| | |  reuse-prec : 0             |  |                                                                                                             |
| | |  rtol       : 1.000000e-08  |  |                                                                                                             |
| | |  type       : gmres         |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | +----------------------------+   |                                                                                                             |
| | | SNES                       |   |                                                                                                             |
| | +----------------------------+   |                                                                                                             |
| | |  atol      : 1.000000e-50  |   |                                                                                                             |
| | |  maxit     : 50            |   |                                                                                                             |
| | |  reuse-jac : 0             |   |                                                                                                             |
| | |  rtol      : 1.000000e-08  |   |                                                                                                             |
| | |  stol      : 1.000000e-08  |   |                                                                                                             |
| | +----------------------------+   |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | | KSP in SNES                 |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | |  maxit      : 1000          |  |                                                                                                             |
| | |  reuse-prec : 0             |  |                                                                                                             |
| | |  rtol       : 1.000000e-05  |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | +------------------------------+ |                                                                                                             |
| | | PC                           | |                                                                                                             |
| | +------------------------------+ |                                                                                                             |
| | |  mat-solver-package : mumps  | |                                                                                                             |
| | |  type               : lu     | |                                                                                                             |
| | +------------------------------+ |                                                                                                             |
| +----------------------------------+                                                                                                             |
| +----------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                    | |
| +----------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                     | |
| | | Environment                                                                          |                                                     | |
| | +--------------------------------------------------------------------------------------+                                                     | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                     | |
| | |  keyword             : poisson_eq                                                    |                                                     | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                     | |
| | |  number of processus : 1                                                             |                                                     | |
| | +--------------------------------------------------------------------------------------+                                                     | |
| | +------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                  | | |
| | +------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +--------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                           | | | |
| | | +--------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                       | | | | |
| | | | +----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                           | | | | |
| | | | |  type     : poisson_eq                                                                                                           | | | | |
| | | | |  name     : poisson_eq                                                                                                           | | | | |
| | | | | +------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                   | | | | | |
| | | | | +------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+--------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression   | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+==============+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {1,0,0,1}    | physics_poisson_eq_poisson_eq_c | tensor2 [2x2] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |              |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+--------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | -1.0-x*y+y^2 | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+--------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +--------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                           | |
| | | Meshes                                         |                                                                                           | |
| | +------------------------------------------------+                                                                                           | |
| | | +--------------------------------------------+ |                                                                                           | |
| | | | Mesh : poisson_eq                          | |                                                                                           | |
| | | +--------------------------------------------+ |                                                                                           | |
| | | |  Discretization : /Mesh/object-17          | |                                                                                           | |
| | | | +----------------------------------------+ | |                                                                                           | |
| | | | | Import configuration                   | | |                                                                                           | |
| | | | +----------------------------------------+ | |                                                                                           | |
| | | | |  geo-filename          :               | | |                                                                                           | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                           | |
| | | | |  generate-partitioning : 0             | | |                                                                                           | |
| | | | +----------------------------------------+ | |                                                                                           | |
| | | | +-------------------------------+          | |                                                                                           | |
| | | | | Discretization                |          | |                                                                                           | |
| | | | +-------------------------------+          | |                                                                                           | |
| | | | |  dim         : 2              |          | |                                                                                           | |
| | | | |  h_average   : 1.012276e-01   |          | |                                                                                           | |
| | | | |  h_max       : 1.349240e-01   |          | |                                                                                           | |
| | | | |  h_min       : 8.067356e-02   |          | |                                                                                           | |
| | | | |  n_elements  : 757            |          | |                                                                                           | |
| | | | |  n_faces     : 1167           |          | |                                                                                           | |
| | | | |  n_partition : 1              |          | |                                                                                           | |
| | | | |  n_points    : 411            |          | |                                                                                           | |
| | | | |  order       : 1              |          | |                                                                                           | |
| | | | |  real_dim    : 2              |          | |                                                                                           | |
| | | | |  shape       : Simplex_2_1_2  |          | |                                                                                           | |
| | | | +-------------------------------+          | |                                                                                           | |
| | | +--------------------------------------------+ |                                                                                           | |
| | +------------------------------------------------+                                                                                           | |
| | +---------------------------------+                                                                                                          | |
| | | Boundary Conditions             |                                                                                                          | |
| | +---------------------------------+                                                                                                          | |
| | | +-----------------------------+ |                                                                                                          | |
| | | | Dirichlet                   | |                                                                                                          | |
| | | +-----------------------------+ |                                                                                                          | |
| | | | +-------------------------+ | |                                                                                                          | |
| | | | | g                       | | |                                                                                                          | |
| | | | +-------------------------+ | |                                                                                                          | |
| | | | |  method  : elimination  | | |                                                                                                          | |
| | | | |  expr    : 0            | | |                                                                                                          | |
| | | | |  markers :  Gamma_D     | | |                                                                                                          | |
| | | | +-------------------------+ | |                                                                                                          | |
| | | +-----------------------------+ |                                                                                                          | |
| | +---------------------------------+                                                                                                          | |
| | +------------------------------------+                                                                                                       | |
| | | Function Spaces                    |                                                                                                       | |
| | +------------------------------------+                                                                                                       | |
| | | +--------------------------------+ |                                                                                                       | |
| | | | Potential                      | |                                                                                                       | |
| | | +--------------------------------+ |                                                                                                       | |
| | | |  mesh   : /Mesh/object-17      | |                                                                                                       | |
| | | |  nSpace : 1                    | |                                                                                                       | |
| | | | +----------------------------+ | |                                                                                                       | |
| | | | | Basis                      | | |                                                                                                       | |
| | | | +----------------------------+ | |                                                                                                       | |
| | | | |  is_continuous : 1         | | |                                                                                                       | |
| | | | |  nComponents   : 1         | | |                                                                                                       | |
| | | | |  nComponents1  : 1         | | |                                                                                                       | |
| | | | |  nComponents2  : 1         | | |                                                                                                       | |
| | | | |  nLocalDof     : 3         | | |                                                                                                       | |
| | | | |  name          : lagrange  | | |                                                                                                       | |
| | | | |  order         : 1         | | |                                                                                                       | |
| | | | |  shape         : scalar    | | |                                                                                                       | |
| | | | +----------------------------+ | |                                                                                                       | |
| | | | +--------------+               | |                                                                                                       | |
| | | | | Dof Table    |               | |                                                                                                       | |
| | | | +--------------+               | |                                                                                                       | |
| | | | |  nDof : 411  |               | |                                                                                                       | |
| | | | +--------------+               | |                                                                                                       | |
| | | +--------------------------------+ |                                                                                                       | |
| | +------------------------------------+                                                                                                       | |
| | +-------------------------------------------------+                                                                                          | |
| | | Fields                                          |                                                                                          | |
| | +-------------------------------------------------+                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | | Potential                                   | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | |  base symbol    : u                         | |                                                                                          | |
| | | |  function space : /FunctionSpace/object-16  | |                                                                                          | |
| | | |  name           : Potential                 | |                                                                                          | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | | Potential_previous                          | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | |  base symbol    : u_previous                | |                                                                                          | |
| | | |  function space : /FunctionSpace/object-16  | |                                                                                          | |
| | | |  name           : Potential_previous        | |                                                                                          | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | | Potential_remove_trial                      | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | |  base symbol    : u_rt                      | |                                                                                          | |
| | | |  function space : /FunctionSpace/object-16  | |                                                                                          | |
| | | |  name           : Potential_remove_trial    | |                                                                                          | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | +-------------------------------------------------+                                                                                          | |
| +----------------------------------------------------------------------------------------------------------------------------------------------+ |
+--------------------------------------------------------------------------------------------------------------------------------------------------+

No description has been provided for this image
Solving using Scimba
>> load network /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
network was not loaded from file: training needed
epoch     0: current loss = 6.73e-01
epoch     0: best loss = 6.73e-01
epoch     1: best loss = 6.34e-01
epoch     2: best loss = 5.72e-01
epoch     3: best loss = 4.43e-01
epoch     4: best loss = 2.83e-01
epoch     5: best loss = 1.39e-01
epoch    12: best loss = 1.33e-01
epoch    13: best loss = 1.33e-01
epoch    14: best loss = 1.25e-01
epoch    15: best loss = 1.13e-01
epoch    16: best loss = 1.05e-01
epoch    17: best loss = 9.61e-02
epoch    18: best loss = 9.10e-02
epoch    19: best loss = 8.59e-02
epoch    20: best loss = 8.46e-02
epoch    22: best loss = 7.89e-02
epoch    23: best loss = 6.18e-02
epoch    24: best loss = 4.50e-02
epoch    25: best loss = 3.54e-02
epoch    26: best loss = 3.49e-02
epoch    27: best loss = 2.60e-02
epoch    28: best loss = 1.25e-02
epoch    34: best loss = 1.23e-02
epoch    36: best loss = 1.06e-02
epoch    37: best loss = 8.09e-03
epoch    44: best loss = 7.14e-03
epoch    46: best loss = 7.08e-03
epoch    47: best loss = 5.63e-03
epoch    48: best loss = 3.78e-03
epoch    55: best loss = 3.77e-03
epoch    57: best loss = 3.29e-03
epoch    58: best loss = 2.72e-03
epoch    64: best loss = 2.68e-03
epoch    65: best loss = 2.26e-03
epoch    68: best loss = 2.19e-03
epoch    71: best loss = 1.92e-03
epoch    72: best loss = 1.86e-03
epoch    74: best loss = 1.67e-03
epoch    77: best loss = 1.58e-03
epoch    78: best loss = 1.54e-03
epoch    80: best loss = 1.39e-03
epoch    81: best loss = 1.30e-03
epoch    83: best loss = 1.26e-03
epoch    84: best loss = 1.25e-03
epoch    85: best loss = 1.24e-03
epoch    86: best loss = 1.15e-03
epoch    87: best loss = 1.05e-03
epoch    88: best loss = 9.94e-04
epoch    89: best loss = 9.66e-04
epoch    90: best loss = 9.14e-04
epoch    91: best loss = 8.89e-04
epoch    93: best loss = 8.03e-04
epoch    94: best loss = 7.97e-04
epoch    95: best loss = 7.17e-04
epoch    97: best loss = 6.51e-04
epoch    98: best loss = 6.27e-04
epoch    99: best loss = 6.14e-04
epoch   100: best loss = 6.02e-04
epoch   101: best loss = 5.20e-04
epoch   102: best loss = 5.06e-04
epoch   104: best loss = 4.72e-04
epoch   105: best loss = 4.23e-04
epoch   106: best loss = 4.13e-04
epoch   108: best loss = 3.83e-04
epoch   111: best loss = 3.53e-04
epoch   112: best loss = 3.50e-04
epoch   114: best loss = 3.12e-04
epoch   116: best loss = 3.10e-04
epoch   117: best loss = 3.00e-04
epoch   121: best loss = 2.80e-04
epoch   124: best loss = 2.60e-04
epoch   126: best loss = 2.53e-04
epoch   127: best loss = 2.45e-04
epoch   130: best loss = 2.45e-04
epoch   131: best loss = 2.38e-04
epoch   132: best loss = 2.35e-04
epoch   135: best loss = 2.16e-04
epoch   140: best loss = 2.15e-04
epoch   142: best loss = 2.08e-04
epoch   143: best loss = 1.98e-04
epoch   147: best loss = 1.97e-04
epoch   149: best loss = 1.91e-04
epoch   151: best loss = 1.81e-04
epoch   152: best loss = 1.75e-04
epoch   156: best loss = 1.68e-04
epoch   166: best loss = 1.67e-04
epoch   167: best loss = 1.54e-04
epoch   177: best loss = 1.50e-04
epoch   182: best loss = 1.47e-04
epoch   183: best loss = 1.45e-04
epoch   185: best loss = 1.45e-04
epoch   186: best loss = 1.44e-04
epoch   188: best loss = 1.41e-04
epoch   189: best loss = 1.39e-04
epoch   212: best loss = 1.39e-04
epoch   220: best loss = 1.32e-04
epoch   227: best loss = 1.30e-04
epoch   228: best loss = 1.25e-04
epoch   236: best loss = 1.15e-04
epoch   284: best loss = 1.14e-04
epoch   292: best loss = 1.12e-04
epoch   293: best loss = 1.05e-04
epoch   297: best loss = 1.02e-04
epoch   302: best loss = 1.00e-04
epoch   312: best loss = 9.58e-05
epoch   317: best loss = 9.49e-05
epoch   323: best loss = 9.45e-05
epoch   329: best loss = 9.11e-05
epoch   335: best loss = 9.02e-05
epoch   349: best loss = 8.95e-05
epoch   358: best loss = 8.39e-05
epoch   368: best loss = 7.76e-05
epoch   496: best loss = 7.62e-05
epoch   500: current loss = 8.00e-05
epoch   511: best loss = 7.46e-05
epoch   512: best loss = 7.42e-05
epoch   527: best loss = 7.27e-05
epoch   541: best loss = 7.24e-05
epoch   552: best loss = 6.89e-05
epoch   573: best loss = 6.81e-05
epoch   574: best loss = 6.77e-05
epoch   593: best loss = 6.58e-05
epoch   595: best loss = 6.55e-05
epoch   599: current loss = 6.67e-05
load network: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
jsbdbshd
network loaded
No description has been provided for this image
Solving the laplacian problem for hsize = 0.1...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo 0.1 
+----------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-2d-p1 - Use Case Study                                                                                                             |
+----------------------------------------------------------------------------------------------------------------------------------------------------+
| +--------------------------------------------------------------------------------------+                                                           |
| | Environment                                                                          |                                                           |
| +--------------------------------------------------------------------------------------+                                                           |
| |  prefix              : cfpdes                                                        |                                                           |
| |  keyword             : cfpdes-2d-p1                                                  |                                                           |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                           |
| |  number of processus : 1                                                             |                                                           |
| +--------------------------------------------------------------------------------------+                                                           |
| +---------------------------+                                                                                                                      |
| | Materials Properties      |                                                                                                                      |
| +---------------------------+                                                                                                                      |
| |  number of materials : 1  |                                                                                                                      |
| +---------------------------+                                                                                                                      |
| +------------------------------------------------+                                                                                                 |
| | Meshes                                         |                                                                                                 |
| +------------------------------------------------+                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| | | Mesh : cfpdes-2d-p1                        | |                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| | |  Discretization : /Mesh/object-19          | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | | Import configuration                   | | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | |  geo-filename          :               | | |                                                                                                 |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                                 |
| | | |  generate-partitioning : 0             | | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | | | Discretization                |          | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | | |  dim         : 2              |          | |                                                                                                 |
| | | |  h_average   : 1.018751e-01   |          | |                                                                                                 |
| | | |  h_max       : 1.168628e-01   |          | |                                                                                                 |
| | | |  h_min       : 8.366122e-02   |          | |                                                                                                 |
| | | |  n_elements  : 248            |          | |                                                                                                 |
| | | |  n_faces     : 392            |          | |                                                                                                 |
| | | |  n_partition : 1              |          | |                                                                                                 |
| | | |  n_points    : 145            |          | |                                                                                                 |
| | | |  order       : 1              |          | |                                                                                                 |
| | | |  real_dim    : 2              |          | |                                                                                                 |
| | | |  shape       : Simplex_2_1_2  |          | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| +------------------------------------------------+                                                                                                 |
| +----------------------------------+                                                                                                               |
| | Algebraic Solver                 |                                                                                                               |
| +----------------------------------+                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | | Backend           |            |                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | |  prefix : cfpdes  |            |                                                                                                               |
| | |  type   : petsc   |            |                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | | KSP                         |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | |  atol       : 1.000000e-50  |  |                                                                                                               |
| | |  dtol       : 1.000000e+05  |  |                                                                                                               |
| | |  maxit      : 1000          |  |                                                                                                               |
| | |  reuse-prec : 0             |  |                                                                                                               |
| | |  rtol       : 1.000000e-08  |  |                                                                                                               |
| | |  type       : gmres         |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | | SNES                       |   |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | |  atol      : 1.000000e-50  |   |                                                                                                               |
| | |  maxit     : 50            |   |                                                                                                               |
| | |  reuse-jac : 0             |   |                                                                                                               |
| | |  rtol      : 1.000000e-08  |   |                                                                                                               |
| | |  stol      : 1.000000e-08  |   |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | | KSP in SNES                 |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | |  maxit      : 1000          |  |                                                                                                               |
| | |  reuse-prec : 0             |  |                                                                                                               |
| | |  rtol       : 1.000000e-05  |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| | | PC                           | |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| | |  mat-solver-package : mumps  | |                                                                                                               |
| | |  type               : lu     | |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| +----------------------------------+                                                                                                               |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                      | |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | | Environment                                                                          |                                                       | |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                       | |
| | |  keyword             : poisson_eq                                                    |                                                       | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                       | |
| | |  number of processus : 1                                                             |                                                       | |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                    | | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                             | | | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                         | | | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                             | | | | |
| | | | |  type     : poisson_eq                                                                                                             | | | | |
| | | | |  name     : poisson_eq                                                                                                             | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                     | | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression     | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+================+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {1,0,0,1}      | physics_poisson_eq_poisson_eq_c | tensor2 [2x2] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |                |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | -1.0+y^2-2*x*y | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                             | |
| | | Meshes                                         |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Mesh : poisson_eq                          | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  Discretization : /Mesh/object-19          | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | | Import configuration                   | | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | |  geo-filename          :               | | |                                                                                             | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                             | |
| | | | |  generate-partitioning : 0             | | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | | | Discretization                |          | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | | |  dim         : 2              |          | |                                                                                             | |
| | | | |  h_average   : 1.018751e-01   |          | |                                                                                             | |
| | | | |  h_max       : 1.168628e-01   |          | |                                                                                             | |
| | | | |  h_min       : 8.366122e-02   |          | |                                                                                             | |
| | | | |  n_elements  : 248            |          | |                                                                                             | |
| | | | |  n_faces     : 392            |          | |                                                                                             | |
| | | | |  n_partition : 1              |          | |                                                                                             | |
| | | | |  n_points    : 145            |          | |                                                                                             | |
| | | | |  order       : 1              |          | |                                                                                             | |
| | | | |  real_dim    : 2              |          | |                                                                                             | |
| | | | |  shape       : Simplex_2_1_2  |          | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | +---------------------------------+                                                                                                            | |
| | | Boundary Conditions             |                                                                                                            | |
| | +---------------------------------+                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | | | Dirichlet                   | |                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | | | g                       | | |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | | |  method  : elimination  | | |                                                                                                            | |
| | | | |  expr    : 0            | | |                                                                                                            | |
| | | | |  markers :  Gamma_D     | | |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | +---------------------------------+                                                                                                            | |
| | +------------------------------------+                                                                                                         | |
| | | Function Spaces                    |                                                                                                         | |
| | +------------------------------------+                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | | | Potential                      | |                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | | |  mesh   : /Mesh/object-19      | |                                                                                                         | |
| | | |  nSpace : 1                    | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | | Basis                      | | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | |  is_continuous : 1         | | |                                                                                                         | |
| | | | |  nComponents   : 1         | | |                                                                                                         | |
| | | | |  nComponents1  : 1         | | |                                                                                                         | |
| | | | |  nComponents2  : 1         | | |                                                                                                         | |
| | | | |  nLocalDof     : 3         | | |                                                                                                         | |
| | | | |  name          : lagrange  | | |                                                                                                         | |
| | | | |  order         : 1         | | |                                                                                                         | |
| | | | |  shape         : scalar    | | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | | | Dof Table    |               | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | | |  nDof : 145  |               | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | +------------------------------------+                                                                                                         | |
| | +-------------------------------------------------+                                                                                            | |
| | | Fields                                          |                                                                                            | |
| | +-------------------------------------------------+                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | | Potential                                   | |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | |  base symbol    : u                         | |                                                                                            | |
| | | |  function space : /FunctionSpace/object-18  | |                                                                                            | |
| | | |  name           : Potential                 | |                                                                                            | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | | Potential_previous                          | |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | |  base symbol    : u_previous                | |                                                                                            | |
| | | |  function space : /FunctionSpace/object-18  | |                                                                                            | |
| | | |  name           : Potential_previous        | |                                                                                            | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | | Potential_remove_trial                      | |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | | |  base symbol    : u_rt                      | |                                                                                            | |
| | | |  function space : /FunctionSpace/object-18  | |                                                                                            | |
| | | |  name           : Potential_remove_trial    | |                                                                                            | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                            | |
| | | +---------------------------------------------+ |                                                                                            | |
| | +-------------------------------------------------+                                                                                            | |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
+----------------------------------------------------------------------------------------------------------------------------------------------------+

No description has been provided for this image
Solving using Scimba
>> load network /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
network was not loaded from file: training needed
epoch     0: current loss = 1.22e+00
epoch     0: best loss = 1.22e+00
epoch     1: best loss = 8.67e-01
epoch     2: best loss = 4.85e-01
epoch     3: best loss = 2.30e-01
epoch     4: best loss = 2.23e-01
epoch     7: best loss = 2.09e-01
epoch     8: best loss = 2.00e-01
epoch    11: best loss = 1.89e-01
epoch    21: best loss = 1.88e-01
epoch    22: best loss = 1.76e-01
epoch    25: best loss = 1.68e-01
epoch    26: best loss = 1.57e-01
epoch    27: best loss = 1.52e-01
epoch    29: best loss = 1.38e-01
epoch    31: best loss = 1.28e-01
epoch    32: best loss = 1.22e-01
epoch    33: best loss = 1.11e-01
epoch    36: best loss = 1.03e-01
epoch    38: best loss = 9.47e-02
epoch    40: best loss = 8.34e-02
epoch    43: best loss = 7.58e-02
epoch    45: best loss = 6.99e-02
epoch    46: best loss = 6.99e-02
epoch    47: best loss = 6.79e-02
epoch    49: best loss = 6.70e-02
epoch    50: best loss = 5.78e-02
epoch    52: best loss = 5.25e-02
epoch    53: best loss = 5.22e-02
epoch    54: best loss = 4.22e-02
epoch    56: best loss = 4.01e-02
epoch    59: best loss = 3.75e-02
epoch    60: best loss = 3.21e-02
epoch    62: best loss = 3.10e-02
epoch    63: best loss = 2.96e-02
epoch    64: best loss = 2.74e-02
epoch    65: best loss = 2.71e-02
epoch    66: best loss = 2.39e-02
epoch    71: best loss = 2.26e-02
epoch    72: best loss = 2.02e-02
epoch    73: best loss = 2.01e-02
epoch    74: best loss = 1.78e-02
epoch    79: best loss = 1.68e-02
epoch    83: best loss = 1.47e-02
epoch    86: best loss = 1.29e-02
epoch   112: best loss = 1.12e-02
epoch   114: best loss = 1.08e-02
epoch   120: best loss = 8.30e-03
epoch   121: best loss = 7.94e-03
epoch   136: best loss = 6.45e-03
epoch   153: best loss = 6.35e-03
epoch   161: best loss = 6.10e-03
epoch   163: best loss = 5.31e-03
epoch   188: best loss = 4.75e-03
epoch   189: best loss = 4.07e-03
epoch   226: best loss = 3.38e-03
epoch   254: best loss = 3.22e-03
epoch   261: best loss = 2.69e-03
epoch   500: current loss = 7.77e-03
epoch   563: best loss = 2.33e-03
epoch   599: current loss = 5.68e-03
load network: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
jsbdbshd
network loaded
No description has been provided for this image
In [ ]:
P(h=0.1,  rhs='-1.0-3*y*x+y*y', g='y', order=1, plot='f3.png')
P(h=0.1,  rhs='-1.0-3*y*x+y*y', g='y', order=1, solver ='scimba')


P(h=0.1,  rhs='-1.0-4*y*x+y*y', g='x', order=1, plot='f4.png')
P(h=0.1,  rhs='-1.0-4*y*x+y*y', g='x', order=1, solver ='scimba')

P(h=0.05, rhs='1',              g='0', order=1, plot='f5.png')
P(h=0.05, rhs='1 + x-x',              g='0', order=1, solver ='scimba')
Solving the laplacian problem for hsize = 0.1...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo 0.1 
+----------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-2d-p1 - Use Case Study                                                                                                             |
+----------------------------------------------------------------------------------------------------------------------------------------------------+
| +--------------------------------------------------------------------------------------+                                                           |
| | Environment                                                                          |                                                           |
| +--------------------------------------------------------------------------------------+                                                           |
| |  prefix              : cfpdes                                                        |                                                           |
| |  keyword             : cfpdes-2d-p1                                                  |                                                           |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                           |
| |  number of processus : 1                                                             |                                                           |
| +--------------------------------------------------------------------------------------+                                                           |
| +---------------------------+                                                                                                                      |
| | Materials Properties      |                                                                                                                      |
| +---------------------------+                                                                                                                      |
| |  number of materials : 1  |                                                                                                                      |
| +---------------------------+                                                                                                                      |
| +------------------------------------------------+                                                                                                 |
| | Meshes                                         |                                                                                                 |
| +------------------------------------------------+                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| | | Mesh : cfpdes-2d-p1                        | |                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| | |  Discretization : /Mesh/object-5           | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | | Import configuration                   | | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | |  geo-filename          :               | | |                                                                                                 |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                                 |
| | | |  generate-partitioning : 0             | | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | | | Discretization                |          | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | | |  dim         : 2              |          | |                                                                                                 |
| | | |  h_average   : 1.018751e-01   |          | |                                                                                                 |
| | | |  h_max       : 1.168628e-01   |          | |                                                                                                 |
| | | |  h_min       : 8.366122e-02   |          | |                                                                                                 |
| | | |  n_elements  : 248            |          | |                                                                                                 |
| | | |  n_faces     : 392            |          | |                                                                                                 |
| | | |  n_partition : 1              |          | |                                                                                                 |
| | | |  n_points    : 145            |          | |                                                                                                 |
| | | |  order       : 1              |          | |                                                                                                 |
| | | |  real_dim    : 2              |          | |                                                                                                 |
| | | |  shape       : Simplex_2_1_2  |          | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| +------------------------------------------------+                                                                                                 |
| +----------------------------------+                                                                                                               |
| | Algebraic Solver                 |                                                                                                               |
| +----------------------------------+                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | | Backend           |            |                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | |  prefix : cfpdes  |            |                                                                                                               |
| | |  type   : petsc   |            |                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | | KSP                         |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | |  atol       : 1.000000e-50  |  |                                                                                                               |
| | |  dtol       : 1.000000e+05  |  |                                                                                                               |
| | |  maxit      : 1000          |  |                                                                                                               |
| | |  reuse-prec : 0             |  |                                                                                                               |
| | |  rtol       : 1.000000e-08  |  |                                                                                                               |
| | |  type       : gmres         |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | | SNES                       |   |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | |  atol      : 1.000000e-50  |   |                                                                                                               |
| | |  maxit     : 50            |   |                                                                                                               |
| | |  reuse-jac : 0             |   |                                                                                                               |
| | |  rtol      : 1.000000e-08  |   |                                                                                                               |
| | |  stol      : 1.000000e-08  |   |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | | KSP in SNES                 |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | |  maxit      : 1000          |  |                                                                                                               |
| | |  reuse-prec : 0             |  |                                                                                                               |
| | |  rtol       : 1.000000e-05  |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| | | PC                           | |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| | |  mat-solver-package : mumps  | |                                                                                                               |
| | |  type               : lu     | |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| +----------------------------------+                                                                                                               |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                      | |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | | Environment                                                                          |                                                       | |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                       | |
| | |  keyword             : poisson_eq                                                    |                                                       | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                       | |
| | |  number of processus : 1                                                             |                                                       | |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                    | | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                             | | | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                         | | | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                             | | | | |
| | | | |  type     : poisson_eq                                                                                                             | | | | |
| | | | |  name     : poisson_eq                                                                                                             | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                     | | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression     | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+================+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {1,0,0,1}      | physics_poisson_eq_poisson_eq_c | tensor2 [2x2] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |                |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | -1.0+y^2-3*x*y | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                             | |
| | | Meshes                                         |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Mesh : poisson_eq                          | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  Discretization : /Mesh/object-5           | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | | Import configuration                   | | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | |  geo-filename          :               | | |                                                                                             | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                             | |
| | | | |  generate-partitioning : 0             | | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | | | Discretization                |          | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | | |  dim         : 2              |          | |                                                                                             | |
| | | | |  h_average   : 1.018751e-01   |          | |                                                                                             | |
| | | | |  h_max       : 1.168628e-01   |          | |                                                                                             | |
| | | | |  h_min       : 8.366122e-02   |          | |                                                                                             | |
| | | | |  n_elements  : 248            |          | |                                                                                             | |
| | | | |  n_faces     : 392            |          | |                                                                                             | |
| | | | |  n_partition : 1              |          | |                                                                                             | |
| | | | |  n_points    : 145            |          | |                                                                                             | |
| | | | |  order       : 1              |          | |                                                                                             | |
| | | | |  real_dim    : 2              |          | |                                                                                             | |
| | | | |  shape       : Simplex_2_1_2  |          | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | +---------------------------------+                                                                                                            | |
| | | Boundary Conditions             |                                                                                                            | |
| | +---------------------------------+                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | | | Dirichlet                   | |                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | | | g                       | | |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | | |  method  : elimination  | | |                                                                                                            | |
| | | | |  expr    : y            | | |                                                                                                            | |
| | | | |  markers :  Gamma_D     | | |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | +---------------------------------+                                                                                                            | |
| | +------------------------------------+                                                                                                         | |
| | | Function Spaces                    |                                                                                                         | |
| | +------------------------------------+                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | | | Potential                      | |                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | | |  mesh   : /Mesh/object-5       | |                                                                                                         | |
| | | |  nSpace : 1                    | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | | Basis                      | | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | |  is_continuous : 1         | | |                                                                                                         | |
| | | | |  nComponents   : 1         | | |                                                                                                         | |
| | | | |  nComponents1  : 1         | | |                                                                                                         | |
| | | | |  nComponents2  : 1         | | |                                                                                                         | |
| | | | |  nLocalDof     : 3         | | |                                                                                                         | |
| | | | |  name          : lagrange  | | |                                                                                                         | |
| | | | |  order         : 1         | | |                                                                                                         | |
| | | | |  shape         : scalar    | | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | | | Dof Table    |               | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | | |  nDof : 145  |               | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | +------------------------------------+                                                                                                         | |
| | +------------------------------------------------+                                                                                             | |
| | | Fields                                         |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Potential                                  | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  base symbol    : u                        | |                                                                                             | |
| | | |  function space : /FunctionSpace/object-4  | |                                                                                             | |
| | | |  name           : Potential                | |                                                                                             | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Potential_previous                         | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  base symbol    : u_previous               | |                                                                                             | |
| | | |  function space : /FunctionSpace/object-4  | |                                                                                             | |
| | | |  name           : Potential_previous       | |                                                                                             | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Potential_remove_trial                     | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  base symbol    : u_rt                     | |                                                                                             | |
| | | |  function space : /FunctionSpace/object-4  | |                                                                                             | |
| | | |  name           : Potential_remove_trial   | |                                                                                             | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
+----------------------------------------------------------------------------------------------------------------------------------------------------+

No description has been provided for this image
Solving using Scimba
>> load network /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
network was not loaded from file: training needed
epoch     0: current loss = 2.56e+00
epoch     0: best loss = 2.56e+00
epoch     1: best loss = 2.08e+00
epoch     2: best loss = 1.61e+00
epoch     3: best loss = 1.06e+00
epoch     4: best loss = 6.13e-01
epoch     5: best loss = 4.40e-01
epoch     6: best loss = 4.23e-01
epoch    14: best loss = 4.17e-01
epoch    15: best loss = 4.13e-01
epoch    18: best loss = 4.12e-01
epoch    19: best loss = 3.81e-01
epoch    20: best loss = 3.68e-01
epoch    21: best loss = 3.63e-01
epoch    22: best loss = 3.57e-01
epoch    23: best loss = 3.24e-01
epoch    24: best loss = 3.03e-01
epoch    25: best loss = 2.86e-01
epoch    26: best loss = 2.62e-01
epoch    27: best loss = 2.04e-01
epoch    28: best loss = 1.90e-01
epoch    31: best loss = 1.80e-01
epoch    32: best loss = 1.78e-01
epoch    33: best loss = 1.51e-01
epoch    35: best loss = 1.38e-01
epoch    37: best loss = 1.35e-01
epoch    39: best loss = 1.28e-01
epoch    40: best loss = 1.25e-01
epoch    41: best loss = 1.21e-01
epoch    42: best loss = 1.21e-01
epoch    43: best loss = 1.09e-01
epoch    46: best loss = 1.03e-01
epoch    50: best loss = 8.66e-02
epoch    51: best loss = 8.16e-02
epoch    52: best loss = 7.88e-02
epoch    57: best loss = 7.42e-02
epoch    59: best loss = 7.40e-02
epoch    60: best loss = 6.61e-02
epoch    61: best loss = 6.30e-02
epoch    87: best loss = 5.96e-02
epoch    90: best loss = 5.11e-02
epoch   104: best loss = 4.95e-02
epoch   113: best loss = 4.74e-02
epoch   126: best loss = 4.66e-02
epoch   128: best loss = 4.30e-02
epoch   134: best loss = 4.05e-02
epoch   138: best loss = 3.99e-02
epoch   141: best loss = 3.44e-02
epoch   212: best loss = 3.21e-02
epoch   225: best loss = 3.08e-02
epoch   231: best loss = 2.81e-02
epoch   233: best loss = 2.74e-02
epoch   234: best loss = 2.65e-02
epoch   238: best loss = 2.39e-02
epoch   255: best loss = 2.22e-02
epoch   258: best loss = 2.07e-02
epoch   263: best loss = 2.02e-02
epoch   273: best loss = 1.93e-02
epoch   278: best loss = 1.85e-02
epoch   281: best loss = 1.80e-02
epoch   283: best loss = 1.66e-02
epoch   297: best loss = 1.56e-02
epoch   300: best loss = 1.56e-02
epoch   306: best loss = 1.35e-02
epoch   314: best loss = 1.26e-02
epoch   327: best loss = 1.17e-02
epoch   384: best loss = 1.13e-02
epoch   395: best loss = 1.12e-02
epoch   397: best loss = 1.02e-02
epoch   403: best loss = 9.66e-03
epoch   413: best loss = 9.36e-03
epoch   417: best loss = 8.44e-03
epoch   421: best loss = 8.40e-03
epoch   426: best loss = 8.02e-03
epoch   429: best loss = 7.31e-03
epoch   448: best loss = 7.16e-03
epoch   452: best loss = 6.64e-03
epoch   462: best loss = 6.14e-03
epoch   463: best loss = 5.10e-03
epoch   484: best loss = 4.94e-03
epoch   497: best loss = 4.70e-03
epoch   500: current loss = 5.59e-03
epoch   529: best loss = 3.61e-03
epoch   542: best loss = 3.55e-03
epoch   545: best loss = 2.91e-03
epoch   552: best loss = 2.80e-03
epoch   569: best loss = 2.04e-03
epoch   599: current loss = 5.00e-03
load network: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
jsbdbshd
network loaded
No description has been provided for this image
Solving the laplacian problem for hsize = 0.1...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo 0.1 
+----------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-2d-p1 - Use Case Study                                                                                                             |
+----------------------------------------------------------------------------------------------------------------------------------------------------+
| +--------------------------------------------------------------------------------------+                                                           |
| | Environment                                                                          |                                                           |
| +--------------------------------------------------------------------------------------+                                                           |
| |  prefix              : cfpdes                                                        |                                                           |
| |  keyword             : cfpdes-2d-p1                                                  |                                                           |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                           |
| |  number of processus : 1                                                             |                                                           |
| +--------------------------------------------------------------------------------------+                                                           |
| +---------------------------+                                                                                                                      |
| | Materials Properties      |                                                                                                                      |
| +---------------------------+                                                                                                                      |
| |  number of materials : 1  |                                                                                                                      |
| +---------------------------+                                                                                                                      |
| +------------------------------------------------+                                                                                                 |
| | Meshes                                         |                                                                                                 |
| +------------------------------------------------+                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| | | Mesh : cfpdes-2d-p1                        | |                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| | |  Discretization : /Mesh/object-7           | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | | Import configuration                   | | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | |  geo-filename          :               | | |                                                                                                 |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                                 |
| | | |  generate-partitioning : 0             | | |                                                                                                 |
| | | +----------------------------------------+ | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | | | Discretization                |          | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | | |  dim         : 2              |          | |                                                                                                 |
| | | |  h_average   : 1.018751e-01   |          | |                                                                                                 |
| | | |  h_max       : 1.168628e-01   |          | |                                                                                                 |
| | | |  h_min       : 8.366122e-02   |          | |                                                                                                 |
| | | |  n_elements  : 248            |          | |                                                                                                 |
| | | |  n_faces     : 392            |          | |                                                                                                 |
| | | |  n_partition : 1              |          | |                                                                                                 |
| | | |  n_points    : 145            |          | |                                                                                                 |
| | | |  order       : 1              |          | |                                                                                                 |
| | | |  real_dim    : 2              |          | |                                                                                                 |
| | | |  shape       : Simplex_2_1_2  |          | |                                                                                                 |
| | | +-------------------------------+          | |                                                                                                 |
| | +--------------------------------------------+ |                                                                                                 |
| +------------------------------------------------+                                                                                                 |
| +----------------------------------+                                                                                                               |
| | Algebraic Solver                 |                                                                                                               |
| +----------------------------------+                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | | Backend           |            |                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | |  prefix : cfpdes  |            |                                                                                                               |
| | |  type   : petsc   |            |                                                                                                               |
| | +-------------------+            |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | | KSP                         |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | |  atol       : 1.000000e-50  |  |                                                                                                               |
| | |  dtol       : 1.000000e+05  |  |                                                                                                               |
| | |  maxit      : 1000          |  |                                                                                                               |
| | |  reuse-prec : 0             |  |                                                                                                               |
| | |  rtol       : 1.000000e-08  |  |                                                                                                               |
| | |  type       : gmres         |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | | SNES                       |   |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | |  atol      : 1.000000e-50  |   |                                                                                                               |
| | |  maxit     : 50            |   |                                                                                                               |
| | |  reuse-jac : 0             |   |                                                                                                               |
| | |  rtol      : 1.000000e-08  |   |                                                                                                               |
| | |  stol      : 1.000000e-08  |   |                                                                                                               |
| | +----------------------------+   |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | | KSP in SNES                 |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | |  maxit      : 1000          |  |                                                                                                               |
| | |  reuse-prec : 0             |  |                                                                                                               |
| | |  rtol       : 1.000000e-05  |  |                                                                                                               |
| | +-----------------------------+  |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| | | PC                           | |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| | |  mat-solver-package : mumps  | |                                                                                                               |
| | |  type               : lu     | |                                                                                                               |
| | +------------------------------+ |                                                                                                               |
| +----------------------------------+                                                                                                               |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                      | |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | | Environment                                                                          |                                                       | |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                       | |
| | |  keyword             : poisson_eq                                                    |                                                       | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                       | |
| | |  number of processus : 1                                                             |                                                       | |
| | +--------------------------------------------------------------------------------------+                                                       | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                    | | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                             | | | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                         | | | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                             | | | | |
| | | | |  type     : poisson_eq                                                                                                             | | | | |
| | | | |  name     : poisson_eq                                                                                                             | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                     | | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression     | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+================+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {1,0,0,1}      | physics_poisson_eq_poisson_eq_c | tensor2 [2x2] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |                |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |                |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | -1.0+y^2-4*y*x | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+----------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +----------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +--------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                             | |
| | | Meshes                                         |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Mesh : poisson_eq                          | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  Discretization : /Mesh/object-7           | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | | Import configuration                   | | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | |  geo-filename          :               | | |                                                                                             | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                             | |
| | | | |  generate-partitioning : 0             | | |                                                                                             | |
| | | | +----------------------------------------+ | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | | | Discretization                |          | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | | |  dim         : 2              |          | |                                                                                             | |
| | | | |  h_average   : 1.018751e-01   |          | |                                                                                             | |
| | | | |  h_max       : 1.168628e-01   |          | |                                                                                             | |
| | | | |  h_min       : 8.366122e-02   |          | |                                                                                             | |
| | | | |  n_elements  : 248            |          | |                                                                                             | |
| | | | |  n_faces     : 392            |          | |                                                                                             | |
| | | | |  n_partition : 1              |          | |                                                                                             | |
| | | | |  n_points    : 145            |          | |                                                                                             | |
| | | | |  order       : 1              |          | |                                                                                             | |
| | | | |  real_dim    : 2              |          | |                                                                                             | |
| | | | |  shape       : Simplex_2_1_2  |          | |                                                                                             | |
| | | | +-------------------------------+          | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | +---------------------------------+                                                                                                            | |
| | | Boundary Conditions             |                                                                                                            | |
| | +---------------------------------+                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | | | Dirichlet                   | |                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | | | g                       | | |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | | |  method  : elimination  | | |                                                                                                            | |
| | | | |  expr    : x            | | |                                                                                                            | |
| | | | |  markers :  Gamma_D     | | |                                                                                                            | |
| | | | +-------------------------+ | |                                                                                                            | |
| | | +-----------------------------+ |                                                                                                            | |
| | +---------------------------------+                                                                                                            | |
| | +------------------------------------+                                                                                                         | |
| | | Function Spaces                    |                                                                                                         | |
| | +------------------------------------+                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | | | Potential                      | |                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | | |  mesh   : /Mesh/object-7       | |                                                                                                         | |
| | | |  nSpace : 1                    | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | | Basis                      | | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | |  is_continuous : 1         | | |                                                                                                         | |
| | | | |  nComponents   : 1         | | |                                                                                                         | |
| | | | |  nComponents1  : 1         | | |                                                                                                         | |
| | | | |  nComponents2  : 1         | | |                                                                                                         | |
| | | | |  nLocalDof     : 3         | | |                                                                                                         | |
| | | | |  name          : lagrange  | | |                                                                                                         | |
| | | | |  order         : 1         | | |                                                                                                         | |
| | | | |  shape         : scalar    | | |                                                                                                         | |
| | | | +----------------------------+ | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | | | Dof Table    |               | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | | |  nDof : 145  |               | |                                                                                                         | |
| | | | +--------------+               | |                                                                                                         | |
| | | +--------------------------------+ |                                                                                                         | |
| | +------------------------------------+                                                                                                         | |
| | +------------------------------------------------+                                                                                             | |
| | | Fields                                         |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Potential                                  | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  base symbol    : u                        | |                                                                                             | |
| | | |  function space : /FunctionSpace/object-6  | |                                                                                             | |
| | | |  name           : Potential                | |                                                                                             | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Potential_previous                         | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  base symbol    : u_previous               | |                                                                                             | |
| | | |  function space : /FunctionSpace/object-6  | |                                                                                             | |
| | | |  name           : Potential_previous       | |                                                                                             | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | | Potential_remove_trial                     | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | | |  base symbol    : u_rt                     | |                                                                                             | |
| | | |  function space : /FunctionSpace/object-6  | |                                                                                             | |
| | | |  name           : Potential_remove_trial   | |                                                                                             | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                             | |
| | | +--------------------------------------------+ |                                                                                             | |
| | +------------------------------------------------+                                                                                             | |
| +------------------------------------------------------------------------------------------------------------------------------------------------+ |
+----------------------------------------------------------------------------------------------------------------------------------------------------+

No description has been provided for this image
Solving using Scimba
>> load network /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
network was not loaded from file: training needed
epoch     0: current loss = 3.45e+00
epoch     0: best loss = 3.45e+00
epoch     1: best loss = 2.86e+00
epoch     2: best loss = 2.15e+00
epoch     3: best loss = 1.57e+00
epoch     4: best loss = 9.26e-01
epoch     5: best loss = 7.38e-01
epoch     8: best loss = 7.09e-01
epoch     9: best loss = 7.01e-01
epoch    15: best loss = 7.00e-01
epoch    16: best loss = 6.51e-01
epoch    17: best loss = 5.21e-01
epoch    19: best loss = 5.03e-01
epoch    20: best loss = 4.80e-01
epoch    21: best loss = 4.15e-01
epoch    23: best loss = 3.07e-01
epoch    24: best loss = 2.95e-01
epoch    25: best loss = 2.75e-01
epoch    27: best loss = 2.48e-01
epoch    30: best loss = 2.43e-01
epoch    31: best loss = 2.40e-01
epoch    32: best loss = 2.22e-01
epoch    35: best loss = 2.11e-01
epoch    36: best loss = 2.08e-01
epoch    39: best loss = 1.79e-01
epoch    41: best loss = 1.78e-01
epoch    43: best loss = 1.66e-01
epoch    44: best loss = 1.58e-01
epoch    47: best loss = 1.56e-01
epoch    49: best loss = 1.47e-01
epoch    52: best loss = 1.45e-01
epoch    55: best loss = 1.31e-01
epoch    57: best loss = 1.27e-01
epoch    61: best loss = 1.23e-01
epoch    64: best loss = 1.23e-01
epoch    65: best loss = 1.18e-01
epoch    69: best loss = 1.10e-01
epoch    70: best loss = 1.04e-01
epoch    74: best loss = 9.91e-02
epoch    77: best loss = 9.11e-02
epoch    78: best loss = 8.65e-02
epoch    97: best loss = 8.47e-02
epoch   100: best loss = 7.48e-02
epoch   104: best loss = 7.01e-02
epoch   105: best loss = 6.98e-02
epoch   112: best loss = 6.78e-02
epoch   115: best loss = 6.75e-02
epoch   121: best loss = 6.41e-02
epoch   123: best loss = 6.10e-02
epoch   128: best loss = 5.30e-02
epoch   129: best loss = 4.87e-02
epoch   133: best loss = 4.13e-02
epoch   141: best loss = 3.96e-02
epoch   143: best loss = 3.96e-02
epoch   144: best loss = 3.82e-02
epoch   151: best loss = 3.80e-02
epoch   153: best loss = 3.75e-02
epoch   154: best loss = 3.73e-02
epoch   158: best loss = 2.65e-02
epoch   167: best loss = 2.62e-02
epoch   169: best loss = 1.98e-02
epoch   183: best loss = 1.92e-02
epoch   197: best loss = 1.47e-02
epoch   228: best loss = 1.36e-02
epoch   234: best loss = 1.28e-02
epoch   240: best loss = 1.23e-02
epoch   259: best loss = 1.06e-02
epoch   287: best loss = 9.91e-03
epoch   297: best loss = 8.52e-03
epoch   329: best loss = 8.43e-03
epoch   330: best loss = 8.08e-03
epoch   347: best loss = 7.80e-03
epoch   362: best loss = 5.14e-03
epoch   456: best loss = 5.03e-03
epoch   479: best loss = 4.77e-03
epoch   500: current loss = 9.36e-03
epoch   502: best loss = 4.39e-03
epoch   506: best loss = 4.34e-03
epoch   510: best loss = 4.11e-03
epoch   544: best loss = 3.75e-03
epoch   599: current loss = 7.38e-03
load network: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
jsbdbshd
network loaded
No description has been provided for this image
Solving the laplacian problem for hsize = 0.05...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo 0.05 
+------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-2d-p1 - Use Case Study                                                                                                         |
+------------------------------------------------------------------------------------------------------------------------------------------------+
| +--------------------------------------------------------------------------------------+                                                       |
| | Environment                                                                          |                                                       |
| +--------------------------------------------------------------------------------------+                                                       |
| |  prefix              : cfpdes                                                        |                                                       |
| |  keyword             : cfpdes-2d-p1                                                  |                                                       |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                       |
| |  number of processus : 1                                                             |                                                       |
| +--------------------------------------------------------------------------------------+                                                       |
| +---------------------------+                                                                                                                  |
| | Materials Properties      |                                                                                                                  |
| +---------------------------+                                                                                                                  |
| |  number of materials : 1  |                                                                                                                  |
| +---------------------------+                                                                                                                  |
| +------------------------------------------------+                                                                                             |
| | Meshes                                         |                                                                                             |
| +------------------------------------------------+                                                                                             |
| | +--------------------------------------------+ |                                                                                             |
| | | Mesh : cfpdes-2d-p1                        | |                                                                                             |
| | +--------------------------------------------+ |                                                                                             |
| | |  Discretization : /Mesh/object-9           | |                                                                                             |
| | | +----------------------------------------+ | |                                                                                             |
| | | | Import configuration                   | | |                                                                                             |
| | | +----------------------------------------+ | |                                                                                             |
| | | |  geo-filename          :               | | |                                                                                             |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                             |
| | | |  generate-partitioning : 0             | | |                                                                                             |
| | | +----------------------------------------+ | |                                                                                             |
| | | +-------------------------------+          | |                                                                                             |
| | | | Discretization                |          | |                                                                                             |
| | | +-------------------------------+          | |                                                                                             |
| | | |  dim         : 2              |          | |                                                                                             |
| | | |  h_average   : 5.095217e-02   |          | |                                                                                             |
| | | |  h_max       : 6.887751e-02   |          | |                                                                                             |
| | | |  h_min       : 4.286120e-02   |          | |                                                                                             |
| | | |  n_elements  : 952            |          | |                                                                                             |
| | | |  n_faces     : 1468           |          | |                                                                                             |
| | | |  n_partition : 1              |          | |                                                                                             |
| | | |  n_points    : 517            |          | |                                                                                             |
| | | |  order       : 1              |          | |                                                                                             |
| | | |  real_dim    : 2              |          | |                                                                                             |
| | | |  shape       : Simplex_2_1_2  |          | |                                                                                             |
| | | +-------------------------------+          | |                                                                                             |
| | +--------------------------------------------+ |                                                                                             |
| +------------------------------------------------+                                                                                             |
| +----------------------------------+                                                                                                           |
| | Algebraic Solver                 |                                                                                                           |
| +----------------------------------+                                                                                                           |
| | +-------------------+            |                                                                                                           |
| | | Backend           |            |                                                                                                           |
| | +-------------------+            |                                                                                                           |
| | |  prefix : cfpdes  |            |                                                                                                           |
| | |  type   : petsc   |            |                                                                                                           |
| | +-------------------+            |                                                                                                           |
| | +-----------------------------+  |                                                                                                           |
| | | KSP                         |  |                                                                                                           |
| | +-----------------------------+  |                                                                                                           |
| | |  atol       : 1.000000e-50  |  |                                                                                                           |
| | |  dtol       : 1.000000e+05  |  |                                                                                                           |
| | |  maxit      : 1000          |  |                                                                                                           |
| | |  reuse-prec : 0             |  |                                                                                                           |
| | |  rtol       : 1.000000e-08  |  |                                                                                                           |
| | |  type       : gmres         |  |                                                                                                           |
| | +-----------------------------+  |                                                                                                           |
| | +----------------------------+   |                                                                                                           |
| | | SNES                       |   |                                                                                                           |
| | +----------------------------+   |                                                                                                           |
| | |  atol      : 1.000000e-50  |   |                                                                                                           |
| | |  maxit     : 50            |   |                                                                                                           |
| | |  reuse-jac : 0             |   |                                                                                                           |
| | |  rtol      : 1.000000e-08  |   |                                                                                                           |
| | |  stol      : 1.000000e-08  |   |                                                                                                           |
| | +----------------------------+   |                                                                                                           |
| | +-----------------------------+  |                                                                                                           |
| | | KSP in SNES                 |  |                                                                                                           |
| | +-----------------------------+  |                                                                                                           |
| | |  maxit      : 1000          |  |                                                                                                           |
| | |  reuse-prec : 0             |  |                                                                                                           |
| | |  rtol       : 1.000000e-05  |  |                                                                                                           |
| | +-----------------------------+  |                                                                                                           |
| | +------------------------------+ |                                                                                                           |
| | | PC                           | |                                                                                                           |
| | +------------------------------+ |                                                                                                           |
| | |  mat-solver-package : mumps  | |                                                                                                           |
| | |  type               : lu     | |                                                                                                           |
| | +------------------------------+ |                                                                                                           |
| +----------------------------------+                                                                                                           |
| +--------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                  | |
| +--------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                   | |
| | | Environment                                                                          |                                                   | |
| | +--------------------------------------------------------------------------------------+                                                   | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                   | |
| | |  keyword             : poisson_eq                                                    |                                                   | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                   | |
| | |  number of processus : 1                                                             |                                                   | |
| | +--------------------------------------------------------------------------------------+                                                   | |
| | +----------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                | | |
| | +----------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                         | | | |
| | | +------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                     | | | | |
| | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                         | | | | |
| | | | |  type     : poisson_eq                                                                                                         | | | | |
| | | | |  name     : poisson_eq                                                                                                         | | | | |
| | | | | +----------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                 | | | | | |
| | | | | +----------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+============+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {1,0,0,1}  | physics_poisson_eq_poisson_eq_c | tensor2 [2x2] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |            |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |            |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |            |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |            |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |            |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |            |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |            |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |            |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |            |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |            |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | 1          | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +----------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +--------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +----------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                         | |
| | | Meshes                                         |                                                                                         | |
| | +------------------------------------------------+                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | | Mesh : poisson_eq                          | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | |  Discretization : /Mesh/object-9           | |                                                                                         | |
| | | | +----------------------------------------+ | |                                                                                         | |
| | | | | Import configuration                   | | |                                                                                         | |
| | | | +----------------------------------------+ | |                                                                                         | |
| | | | |  geo-filename          :               | | |                                                                                         | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                         | |
| | | | |  generate-partitioning : 0             | | |                                                                                         | |
| | | | +----------------------------------------+ | |                                                                                         | |
| | | | +-------------------------------+          | |                                                                                         | |
| | | | | Discretization                |          | |                                                                                         | |
| | | | +-------------------------------+          | |                                                                                         | |
| | | | |  dim         : 2              |          | |                                                                                         | |
| | | | |  h_average   : 5.095217e-02   |          | |                                                                                         | |
| | | | |  h_max       : 6.887751e-02   |          | |                                                                                         | |
| | | | |  h_min       : 4.286120e-02   |          | |                                                                                         | |
| | | | |  n_elements  : 952            |          | |                                                                                         | |
| | | | |  n_faces     : 1468           |          | |                                                                                         | |
| | | | |  n_partition : 1              |          | |                                                                                         | |
| | | | |  n_points    : 517            |          | |                                                                                         | |
| | | | |  order       : 1              |          | |                                                                                         | |
| | | | |  real_dim    : 2              |          | |                                                                                         | |
| | | | |  shape       : Simplex_2_1_2  |          | |                                                                                         | |
| | | | +-------------------------------+          | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | +------------------------------------------------+                                                                                         | |
| | +---------------------------------+                                                                                                        | |
| | | Boundary Conditions             |                                                                                                        | |
| | +---------------------------------+                                                                                                        | |
| | | +-----------------------------+ |                                                                                                        | |
| | | | Dirichlet                   | |                                                                                                        | |
| | | +-----------------------------+ |                                                                                                        | |
| | | | +-------------------------+ | |                                                                                                        | |
| | | | | g                       | | |                                                                                                        | |
| | | | +-------------------------+ | |                                                                                                        | |
| | | | |  method  : elimination  | | |                                                                                                        | |
| | | | |  expr    : 0            | | |                                                                                                        | |
| | | | |  markers :  Gamma_D     | | |                                                                                                        | |
| | | | +-------------------------+ | |                                                                                                        | |
| | | +-----------------------------+ |                                                                                                        | |
| | +---------------------------------+                                                                                                        | |
| | +------------------------------------+                                                                                                     | |
| | | Function Spaces                    |                                                                                                     | |
| | +------------------------------------+                                                                                                     | |
| | | +--------------------------------+ |                                                                                                     | |
| | | | Potential                      | |                                                                                                     | |
| | | +--------------------------------+ |                                                                                                     | |
| | | |  mesh   : /Mesh/object-9       | |                                                                                                     | |
| | | |  nSpace : 1                    | |                                                                                                     | |
| | | | +----------------------------+ | |                                                                                                     | |
| | | | | Basis                      | | |                                                                                                     | |
| | | | +----------------------------+ | |                                                                                                     | |
| | | | |  is_continuous : 1         | | |                                                                                                     | |
| | | | |  nComponents   : 1         | | |                                                                                                     | |
| | | | |  nComponents1  : 1         | | |                                                                                                     | |
| | | | |  nComponents2  : 1         | | |                                                                                                     | |
| | | | |  nLocalDof     : 3         | | |                                                                                                     | |
| | | | |  name          : lagrange  | | |                                                                                                     | |
| | | | |  order         : 1         | | |                                                                                                     | |
| | | | |  shape         : scalar    | | |                                                                                                     | |
| | | | +----------------------------+ | |                                                                                                     | |
| | | | +--------------+               | |                                                                                                     | |
| | | | | Dof Table    |               | |                                                                                                     | |
| | | | +--------------+               | |                                                                                                     | |
| | | | |  nDof : 517  |               | |                                                                                                     | |
| | | | +--------------+               | |                                                                                                     | |
| | | +--------------------------------+ |                                                                                                     | |
| | +------------------------------------+                                                                                                     | |
| | +------------------------------------------------+                                                                                         | |
| | | Fields                                         |                                                                                         | |
| | +------------------------------------------------+                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | | Potential                                  | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | |  base symbol    : u                        | |                                                                                         | |
| | | |  function space : /FunctionSpace/object-8  | |                                                                                         | |
| | | |  name           : Potential                | |                                                                                         | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | | Potential_previous                         | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | |  base symbol    : u_previous               | |                                                                                         | |
| | | |  function space : /FunctionSpace/object-8  | |                                                                                         | |
| | | |  name           : Potential_previous       | |                                                                                         | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | | Potential_remove_trial                     | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | | |  base symbol    : u_rt                     | |                                                                                         | |
| | | |  function space : /FunctionSpace/object-8  | |                                                                                         | |
| | | |  name           : Potential_remove_trial   | |                                                                                         | |
| | | |  prefix symbol  : poisson_eq               | |                                                                                         | |
| | | +--------------------------------------------+ |                                                                                         | |
| | +------------------------------------------------+                                                                                         | |
| +--------------------------------------------------------------------------------------------------------------------------------------------+ |
+------------------------------------------------------------------------------------------------------------------------------------------------+

No description has been provided for this image
Solving using Scimba
>> load network /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
network was not loaded from file: training needed
epoch     0: current loss = 8.02e-01
epoch     0: best loss = 8.02e-01
epoch     1: best loss = 5.90e-01
epoch     2: best loss = 3.73e-01
epoch     3: best loss = 1.55e-01
epoch     4: best loss = 1.12e-01
epoch     8: best loss = 9.63e-02
epoch    13: best loss = 9.29e-02
epoch    19: best loss = 9.24e-02
epoch    28: best loss = 9.14e-02
epoch    33: best loss = 9.03e-02
epoch    40: best loss = 8.95e-02
epoch    41: best loss = 8.90e-02
epoch    56: best loss = 8.86e-02
epoch    63: best loss = 8.79e-02
epoch    99: best loss = 8.74e-02
epoch   109: best loss = 8.61e-02
epoch   113: best loss = 8.26e-02
epoch   116: best loss = 8.22e-02
epoch   118: best loss = 7.91e-02
epoch   119: best loss = 7.69e-02
epoch   120: best loss = 6.89e-02
epoch   121: best loss = 6.53e-02
epoch   122: best loss = 5.95e-02
epoch   123: best loss = 5.31e-02
epoch   124: best loss = 4.75e-02
epoch   127: best loss = 4.74e-02
epoch   128: best loss = 3.89e-02
epoch   129: best loss = 3.27e-02
epoch   130: best loss = 2.90e-02
epoch   140: best loss = 2.89e-02
epoch   141: best loss = 2.45e-02
epoch   142: best loss = 2.41e-02
epoch   147: best loss = 2.18e-02
epoch   151: best loss = 2.16e-02
epoch   155: best loss = 2.14e-02
epoch   156: best loss = 1.94e-02
epoch   157: best loss = 1.87e-02
epoch   161: best loss = 1.81e-02
epoch   163: best loss = 1.78e-02
epoch   164: best loss = 1.76e-02
epoch   165: best loss = 1.70e-02
epoch   166: best loss = 1.65e-02
epoch   167: best loss = 1.62e-02
epoch   170: best loss = 1.53e-02
epoch   171: best loss = 1.40e-02
epoch   174: best loss = 1.33e-02
epoch   175: best loss = 1.25e-02
epoch   177: best loss = 1.19e-02
epoch   178: best loss = 1.11e-02
epoch   181: best loss = 1.03e-02
epoch   182: best loss = 9.72e-03
epoch   183: best loss = 9.64e-03
epoch   185: best loss = 8.48e-03
epoch   186: best loss = 8.00e-03
epoch   192: best loss = 7.37e-03
epoch   194: best loss = 6.94e-03
epoch   196: best loss = 6.29e-03
epoch   197: best loss = 6.17e-03
epoch   202: best loss = 6.13e-03
epoch   207: best loss = 4.96e-03
epoch   217: best loss = 4.39e-03
epoch   231: best loss = 4.38e-03
epoch   236: best loss = 4.06e-03
epoch   242: best loss = 4.00e-03
epoch   243: best loss = 3.97e-03
epoch   245: best loss = 3.60e-03
epoch   258: best loss = 3.30e-03
epoch   259: best loss = 3.08e-03
epoch   266: best loss = 2.78e-03
epoch   288: best loss = 2.59e-03
epoch   294: best loss = 2.58e-03
epoch   325: best loss = 2.53e-03
epoch   329: best loss = 2.43e-03
epoch   337: best loss = 2.31e-03
epoch   338: best loss = 2.21e-03
epoch   339: best loss = 2.06e-03
epoch   340: best loss = 2.06e-03
epoch   342: best loss = 1.89e-03
epoch   352: best loss = 1.75e-03
epoch   370: best loss = 1.72e-03
epoch   376: best loss = 1.64e-03
epoch   383: best loss = 1.63e-03
epoch   385: best loss = 1.41e-03
epoch   398: best loss = 1.38e-03
epoch   405: best loss = 1.19e-03
epoch   500: current loss = 1.52e-03
epoch   511: best loss = 8.45e-04
epoch   534: best loss = 7.84e-04
epoch   599: current loss = 1.08e-03
load network: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
jsbdbshd
network loaded
No description has been provided for this image
In [ ]:
# # 2D with varying anisotropy
#P = Poisson(dim = 2)
P(h=0.1, diff='{1.0,0,0,x*y}', rhs='1', plot='d1.png')
P(h=0.1, diff='(1+x,0,0,1+y)', rhs='1+ x-x', solver='scimba')

P(h=0.1, diff='{x,y,-y,x+y}',  rhs='1', plot='d3.png')
P(h=0.1, diff='(x,y,-y,x+y)',  rhs='1+ x-x', solver='scimba')
Solving the laplacian problem for hsize = 0.1...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo 0.1 
+---------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-2d-p1 - Use Case Study                                                                                                            |
+---------------------------------------------------------------------------------------------------------------------------------------------------+
| +--------------------------------------------------------------------------------------+                                                          |
| | Environment                                                                          |                                                          |
| +--------------------------------------------------------------------------------------+                                                          |
| |  prefix              : cfpdes                                                        |                                                          |
| |  keyword             : cfpdes-2d-p1                                                  |                                                          |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                          |
| |  number of processus : 1                                                             |                                                          |
| +--------------------------------------------------------------------------------------+                                                          |
| +---------------------------+                                                                                                                     |
| | Materials Properties      |                                                                                                                     |
| +---------------------------+                                                                                                                     |
| |  number of materials : 1  |                                                                                                                     |
| +---------------------------+                                                                                                                     |
| +------------------------------------------------+                                                                                                |
| | Meshes                                         |                                                                                                |
| +------------------------------------------------+                                                                                                |
| | +--------------------------------------------+ |                                                                                                |
| | | Mesh : cfpdes-2d-p1                        | |                                                                                                |
| | +--------------------------------------------+ |                                                                                                |
| | |  Discretization : /Mesh/object-11          | |                                                                                                |
| | | +----------------------------------------+ | |                                                                                                |
| | | | Import configuration                   | | |                                                                                                |
| | | +----------------------------------------+ | |                                                                                                |
| | | |  geo-filename          :               | | |                                                                                                |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                                |
| | | |  generate-partitioning : 0             | | |                                                                                                |
| | | +----------------------------------------+ | |                                                                                                |
| | | +-------------------------------+          | |                                                                                                |
| | | | Discretization                |          | |                                                                                                |
| | | +-------------------------------+          | |                                                                                                |
| | | |  dim         : 2              |          | |                                                                                                |
| | | |  h_average   : 1.018751e-01   |          | |                                                                                                |
| | | |  h_max       : 1.168628e-01   |          | |                                                                                                |
| | | |  h_min       : 8.366122e-02   |          | |                                                                                                |
| | | |  n_elements  : 248            |          | |                                                                                                |
| | | |  n_faces     : 392            |          | |                                                                                                |
| | | |  n_partition : 1              |          | |                                                                                                |
| | | |  n_points    : 145            |          | |                                                                                                |
| | | |  order       : 1              |          | |                                                                                                |
| | | |  real_dim    : 2              |          | |                                                                                                |
| | | |  shape       : Simplex_2_1_2  |          | |                                                                                                |
| | | +-------------------------------+          | |                                                                                                |
| | +--------------------------------------------+ |                                                                                                |
| +------------------------------------------------+                                                                                                |
| +----------------------------------+                                                                                                              |
| | Algebraic Solver                 |                                                                                                              |
| +----------------------------------+                                                                                                              |
| | +-------------------+            |                                                                                                              |
| | | Backend           |            |                                                                                                              |
| | +-------------------+            |                                                                                                              |
| | |  prefix : cfpdes  |            |                                                                                                              |
| | |  type   : petsc   |            |                                                                                                              |
| | +-------------------+            |                                                                                                              |
| | +-----------------------------+  |                                                                                                              |
| | | KSP                         |  |                                                                                                              |
| | +-----------------------------+  |                                                                                                              |
| | |  atol       : 1.000000e-50  |  |                                                                                                              |
| | |  dtol       : 1.000000e+05  |  |                                                                                                              |
| | |  maxit      : 1000          |  |                                                                                                              |
| | |  reuse-prec : 0             |  |                                                                                                              |
| | |  rtol       : 1.000000e-08  |  |                                                                                                              |
| | |  type       : gmres         |  |                                                                                                              |
| | +-----------------------------+  |                                                                                                              |
| | +----------------------------+   |                                                                                                              |
| | | SNES                       |   |                                                                                                              |
| | +----------------------------+   |                                                                                                              |
| | |  atol      : 1.000000e-50  |   |                                                                                                              |
| | |  maxit     : 50            |   |                                                                                                              |
| | |  reuse-jac : 0             |   |                                                                                                              |
| | |  rtol      : 1.000000e-08  |   |                                                                                                              |
| | |  stol      : 1.000000e-08  |   |                                                                                                              |
| | +----------------------------+   |                                                                                                              |
| | +-----------------------------+  |                                                                                                              |
| | | KSP in SNES                 |  |                                                                                                              |
| | +-----------------------------+  |                                                                                                              |
| | |  maxit      : 1000          |  |                                                                                                              |
| | |  reuse-prec : 0             |  |                                                                                                              |
| | |  rtol       : 1.000000e-05  |  |                                                                                                              |
| | +-----------------------------+  |                                                                                                              |
| | +------------------------------+ |                                                                                                              |
| | | PC                           | |                                                                                                              |
| | +------------------------------+ |                                                                                                              |
| | |  mat-solver-package : mumps  | |                                                                                                              |
| | |  type               : lu     | |                                                                                                              |
| | +------------------------------+ |                                                                                                              |
| +----------------------------------+                                                                                                              |
| +-----------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                     | |
| +-----------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                      | |
| | | Environment                                                                          |                                                      | |
| | +--------------------------------------------------------------------------------------+                                                      | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                      | |
| | |  keyword             : poisson_eq                                                    |                                                      | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                      | |
| | |  number of processus : 1                                                             |                                                      | |
| | +--------------------------------------------------------------------------------------+                                                      | |
| | +-------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                   | | |
| | +-------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +---------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                            | | | |
| | | +---------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +-----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                        | | | | |
| | | | +-----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                            | | | | |
| | | | |  type     : poisson_eq                                                                                                            | | | | |
| | | | |  name     : poisson_eq                                                                                                            | | | | |
| | | | | +-------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                    | | | | | |
| | | | | +-------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+---------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression    | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+===============+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {1.0,0,0,x*y} | physics_poisson_eq_poisson_eq_c | tensor2 [2x2] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |               |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |               |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |               |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |               |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |               |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |               |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |               |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |               |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |               |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |               |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+---------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | 1             | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+---------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +-------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +-----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +---------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +-------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                            | |
| | | Meshes                                         |                                                                                            | |
| | +------------------------------------------------+                                                                                            | |
| | | +--------------------------------------------+ |                                                                                            | |
| | | | Mesh : poisson_eq                          | |                                                                                            | |
| | | +--------------------------------------------+ |                                                                                            | |
| | | |  Discretization : /Mesh/object-11          | |                                                                                            | |
| | | | +----------------------------------------+ | |                                                                                            | |
| | | | | Import configuration                   | | |                                                                                            | |
| | | | +----------------------------------------+ | |                                                                                            | |
| | | | |  geo-filename          :               | | |                                                                                            | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                            | |
| | | | |  generate-partitioning : 0             | | |                                                                                            | |
| | | | +----------------------------------------+ | |                                                                                            | |
| | | | +-------------------------------+          | |                                                                                            | |
| | | | | Discretization                |          | |                                                                                            | |
| | | | +-------------------------------+          | |                                                                                            | |
| | | | |  dim         : 2              |          | |                                                                                            | |
| | | | |  h_average   : 1.018751e-01   |          | |                                                                                            | |
| | | | |  h_max       : 1.168628e-01   |          | |                                                                                            | |
| | | | |  h_min       : 8.366122e-02   |          | |                                                                                            | |
| | | | |  n_elements  : 248            |          | |                                                                                            | |
| | | | |  n_faces     : 392            |          | |                                                                                            | |
| | | | |  n_partition : 1              |          | |                                                                                            | |
| | | | |  n_points    : 145            |          | |                                                                                            | |
| | | | |  order       : 1              |          | |                                                                                            | |
| | | | |  real_dim    : 2              |          | |                                                                                            | |
| | | | |  shape       : Simplex_2_1_2  |          | |                                                                                            | |
| | | | +-------------------------------+          | |                                                                                            | |
| | | +--------------------------------------------+ |                                                                                            | |
| | +------------------------------------------------+                                                                                            | |
| | +---------------------------------+                                                                                                           | |
| | | Boundary Conditions             |                                                                                                           | |
| | +---------------------------------+                                                                                                           | |
| | | +-----------------------------+ |                                                                                                           | |
| | | | Dirichlet                   | |                                                                                                           | |
| | | +-----------------------------+ |                                                                                                           | |
| | | | +-------------------------+ | |                                                                                                           | |
| | | | | g                       | | |                                                                                                           | |
| | | | +-------------------------+ | |                                                                                                           | |
| | | | |  method  : elimination  | | |                                                                                                           | |
| | | | |  expr    : 0            | | |                                                                                                           | |
| | | | |  markers :  Gamma_D     | | |                                                                                                           | |
| | | | +-------------------------+ | |                                                                                                           | |
| | | +-----------------------------+ |                                                                                                           | |
| | +---------------------------------+                                                                                                           | |
| | +------------------------------------+                                                                                                        | |
| | | Function Spaces                    |                                                                                                        | |
| | +------------------------------------+                                                                                                        | |
| | | +--------------------------------+ |                                                                                                        | |
| | | | Potential                      | |                                                                                                        | |
| | | +--------------------------------+ |                                                                                                        | |
| | | |  mesh   : /Mesh/object-11      | |                                                                                                        | |
| | | |  nSpace : 1                    | |                                                                                                        | |
| | | | +----------------------------+ | |                                                                                                        | |
| | | | | Basis                      | | |                                                                                                        | |
| | | | +----------------------------+ | |                                                                                                        | |
| | | | |  is_continuous : 1         | | |                                                                                                        | |
| | | | |  nComponents   : 1         | | |                                                                                                        | |
| | | | |  nComponents1  : 1         | | |                                                                                                        | |
| | | | |  nComponents2  : 1         | | |                                                                                                        | |
| | | | |  nLocalDof     : 3         | | |                                                                                                        | |
| | | | |  name          : lagrange  | | |                                                                                                        | |
| | | | |  order         : 1         | | |                                                                                                        | |
| | | | |  shape         : scalar    | | |                                                                                                        | |
| | | | +----------------------------+ | |                                                                                                        | |
| | | | +--------------+               | |                                                                                                        | |
| | | | | Dof Table    |               | |                                                                                                        | |
| | | | +--------------+               | |                                                                                                        | |
| | | | |  nDof : 145  |               | |                                                                                                        | |
| | | | +--------------+               | |                                                                                                        | |
| | | +--------------------------------+ |                                                                                                        | |
| | +------------------------------------+                                                                                                        | |
| | +-------------------------------------------------+                                                                                           | |
| | | Fields                                          |                                                                                           | |
| | +-------------------------------------------------+                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | | Potential                                   | |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | |  base symbol    : u                         | |                                                                                           | |
| | | |  function space : /FunctionSpace/object-10  | |                                                                                           | |
| | | |  name           : Potential                 | |                                                                                           | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | | Potential_previous                          | |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | |  base symbol    : u_previous                | |                                                                                           | |
| | | |  function space : /FunctionSpace/object-10  | |                                                                                           | |
| | | |  name           : Potential_previous        | |                                                                                           | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | | Potential_remove_trial                      | |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | | |  base symbol    : u_rt                      | |                                                                                           | |
| | | |  function space : /FunctionSpace/object-10  | |                                                                                           | |
| | | |  name           : Potential_remove_trial    | |                                                                                           | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                           | |
| | | +---------------------------------------------+ |                                                                                           | |
| | +-------------------------------------------------+                                                                                           | |
| +-----------------------------------------------------------------------------------------------------------------------------------------------+ |
+---------------------------------------------------------------------------------------------------------------------------------------------------+

No description has been provided for this image
Solving using Scimba
>> load network /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
network was not loaded from file: training needed
epoch     0: current loss = 1.00e+00
epoch     0: best loss = 1.00e+00
epoch     1: best loss = 6.21e-01
epoch     2: best loss = 2.75e-01
epoch     3: best loss = 9.68e-02
epoch    13: best loss = 9.06e-02
epoch    19: best loss = 8.91e-02
epoch    35: best loss = 8.70e-02
epoch    40: best loss = 8.59e-02
epoch    56: best loss = 8.59e-02
epoch    86: best loss = 8.55e-02
epoch    90: best loss = 8.35e-02
epoch    93: best loss = 8.00e-02
epoch    96: best loss = 7.82e-02
epoch    97: best loss = 7.46e-02
epoch    98: best loss = 7.09e-02
epoch    99: best loss = 6.77e-02
epoch   100: best loss = 6.40e-02
epoch   101: best loss = 6.28e-02
epoch   102: best loss = 5.69e-02
epoch   116: best loss = 5.50e-02
epoch   117: best loss = 5.49e-02
epoch   118: best loss = 5.28e-02
epoch   120: best loss = 5.27e-02
epoch   121: best loss = 5.24e-02
epoch   122: best loss = 5.11e-02
epoch   123: best loss = 5.08e-02
epoch   124: best loss = 4.94e-02
epoch   125: best loss = 4.87e-02
epoch   128: best loss = 4.66e-02
epoch   131: best loss = 4.66e-02
epoch   132: best loss = 4.49e-02
epoch   134: best loss = 4.14e-02
epoch   136: best loss = 3.99e-02
epoch   137: best loss = 3.83e-02
epoch   138: best loss = 3.47e-02
epoch   139: best loss = 3.16e-02
epoch   140: best loss = 2.93e-02
epoch   141: best loss = 2.58e-02
epoch   142: best loss = 2.48e-02
epoch   145: best loss = 2.48e-02
epoch   148: best loss = 2.42e-02
epoch   149: best loss = 2.34e-02
epoch   150: best loss = 2.21e-02
epoch   151: best loss = 2.01e-02
epoch   158: best loss = 1.97e-02
epoch   159: best loss = 1.83e-02
epoch   161: best loss = 1.63e-02
epoch   164: best loss = 1.62e-02
epoch   165: best loss = 1.61e-02
epoch   167: best loss = 1.60e-02
epoch   168: best loss = 1.34e-02
epoch   175: best loss = 1.26e-02
epoch   176: best loss = 1.23e-02
epoch   177: best loss = 1.20e-02
epoch   179: best loss = 1.18e-02
epoch   180: best loss = 1.12e-02
epoch   181: best loss = 1.04e-02
epoch   182: best loss = 9.99e-03
epoch   184: best loss = 8.24e-03
epoch   185: best loss = 8.17e-03
epoch   186: best loss = 8.16e-03
epoch   187: best loss = 6.54e-03
epoch   191: best loss = 6.41e-03
epoch   192: best loss = 5.70e-03
epoch   194: best loss = 5.60e-03
epoch   195: best loss = 5.42e-03
epoch   197: best loss = 4.30e-03
epoch   198: best loss = 3.92e-03
epoch   201: best loss = 3.88e-03
epoch   202: best loss = 3.58e-03
epoch   204: best loss = 3.23e-03
epoch   210: best loss = 2.83e-03
epoch   216: best loss = 2.56e-03
epoch   218: best loss = 2.52e-03
epoch   221: best loss = 2.32e-03
epoch   228: best loss = 2.30e-03
epoch   230: best loss = 2.24e-03
epoch   234: best loss = 2.21e-03
epoch   236: best loss = 1.92e-03
epoch   240: best loss = 1.79e-03
epoch   242: best loss = 1.35e-03
epoch   265: best loss = 1.24e-03
epoch   267: best loss = 1.13e-03
epoch   278: best loss = 8.51e-04
epoch   347: best loss = 6.39e-04
epoch   386: best loss = 5.54e-04
epoch   415: best loss = 5.41e-04
epoch   469: best loss = 3.79e-04
epoch   500: current loss = 8.55e-04
epoch   508: best loss = 3.31e-04
epoch   520: best loss = 3.30e-04
epoch   599: current loss = 4.08e-04
load network: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
jsbdbshd
network loaded
No description has been provided for this image
Solving the laplacian problem for hsize = 0.1...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/omega-2.geo 0.1 
+--------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-2d-p1 - Use Case Study                                                                                                           |
+--------------------------------------------------------------------------------------------------------------------------------------------------+
| +--------------------------------------------------------------------------------------+                                                         |
| | Environment                                                                          |                                                         |
| +--------------------------------------------------------------------------------------+                                                         |
| |  prefix              : cfpdes                                                        |                                                         |
| |  keyword             : cfpdes-2d-p1                                                  |                                                         |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                         |
| |  number of processus : 1                                                             |                                                         |
| +--------------------------------------------------------------------------------------+                                                         |
| +---------------------------+                                                                                                                    |
| | Materials Properties      |                                                                                                                    |
| +---------------------------+                                                                                                                    |
| |  number of materials : 1  |                                                                                                                    |
| +---------------------------+                                                                                                                    |
| +------------------------------------------------+                                                                                               |
| | Meshes                                         |                                                                                               |
| +------------------------------------------------+                                                                                               |
| | +--------------------------------------------+ |                                                                                               |
| | | Mesh : cfpdes-2d-p1                        | |                                                                                               |
| | +--------------------------------------------+ |                                                                                               |
| | |  Discretization : /Mesh/object-13          | |                                                                                               |
| | | +----------------------------------------+ | |                                                                                               |
| | | | Import configuration                   | | |                                                                                               |
| | | +----------------------------------------+ | |                                                                                               |
| | | |  geo-filename          :               | | |                                                                                               |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                               |
| | | |  generate-partitioning : 0             | | |                                                                                               |
| | | +----------------------------------------+ | |                                                                                               |
| | | +-------------------------------+          | |                                                                                               |
| | | | Discretization                |          | |                                                                                               |
| | | +-------------------------------+          | |                                                                                               |
| | | |  dim         : 2              |          | |                                                                                               |
| | | |  h_average   : 1.018751e-01   |          | |                                                                                               |
| | | |  h_max       : 1.168628e-01   |          | |                                                                                               |
| | | |  h_min       : 8.366122e-02   |          | |                                                                                               |
| | | |  n_elements  : 248            |          | |                                                                                               |
| | | |  n_faces     : 392            |          | |                                                                                               |
| | | |  n_partition : 1              |          | |                                                                                               |
| | | |  n_points    : 145            |          | |                                                                                               |
| | | |  order       : 1              |          | |                                                                                               |
| | | |  real_dim    : 2              |          | |                                                                                               |
| | | |  shape       : Simplex_2_1_2  |          | |                                                                                               |
| | | +-------------------------------+          | |                                                                                               |
| | +--------------------------------------------+ |                                                                                               |
| +------------------------------------------------+                                                                                               |
| +----------------------------------+                                                                                                             |
| | Algebraic Solver                 |                                                                                                             |
| +----------------------------------+                                                                                                             |
| | +-------------------+            |                                                                                                             |
| | | Backend           |            |                                                                                                             |
| | +-------------------+            |                                                                                                             |
| | |  prefix : cfpdes  |            |                                                                                                             |
| | |  type   : petsc   |            |                                                                                                             |
| | +-------------------+            |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | | KSP                         |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | |  atol       : 1.000000e-50  |  |                                                                                                             |
| | |  dtol       : 1.000000e+05  |  |                                                                                                             |
| | |  maxit      : 1000          |  |                                                                                                             |
| | |  reuse-prec : 0             |  |                                                                                                             |
| | |  rtol       : 1.000000e-08  |  |                                                                                                             |
| | |  type       : gmres         |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | +----------------------------+   |                                                                                                             |
| | | SNES                       |   |                                                                                                             |
| | +----------------------------+   |                                                                                                             |
| | |  atol      : 1.000000e-50  |   |                                                                                                             |
| | |  maxit     : 50            |   |                                                                                                             |
| | |  reuse-jac : 0             |   |                                                                                                             |
| | |  rtol      : 1.000000e-08  |   |                                                                                                             |
| | |  stol      : 1.000000e-08  |   |                                                                                                             |
| | +----------------------------+   |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | | KSP in SNES                 |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | |  maxit      : 1000          |  |                                                                                                             |
| | |  reuse-prec : 0             |  |                                                                                                             |
| | |  rtol       : 1.000000e-05  |  |                                                                                                             |
| | +-----------------------------+  |                                                                                                             |
| | +------------------------------+ |                                                                                                             |
| | | PC                           | |                                                                                                             |
| | +------------------------------+ |                                                                                                             |
| | |  mat-solver-package : mumps  | |                                                                                                             |
| | |  type               : lu     | |                                                                                                             |
| | +------------------------------+ |                                                                                                             |
| +----------------------------------+                                                                                                             |
| +----------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                    | |
| +----------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                     | |
| | | Environment                                                                          |                                                     | |
| | +--------------------------------------------------------------------------------------+                                                     | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                     | |
| | |  keyword             : poisson_eq                                                    |                                                     | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                     | |
| | |  number of processus : 1                                                             |                                                     | |
| | +--------------------------------------------------------------------------------------+                                                     | |
| | +------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                  | | |
| | +------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +--------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                           | | | |
| | | +--------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                       | | | | |
| | | | +----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                           | | | | |
| | | | |  type     : poisson_eq                                                                                                           | | | | |
| | | | |  name     : poisson_eq                                                                                                           | | | | |
| | | | | +------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                   | | | | | |
| | | | | +------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+--------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression   | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+==============+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {x,y,-y,x+y} | physics_poisson_eq_poisson_eq_c | tensor2 [2x2] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |              |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |              |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |              |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+--------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | 1            | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+--------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +----------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +--------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                           | |
| | | Meshes                                         |                                                                                           | |
| | +------------------------------------------------+                                                                                           | |
| | | +--------------------------------------------+ |                                                                                           | |
| | | | Mesh : poisson_eq                          | |                                                                                           | |
| | | +--------------------------------------------+ |                                                                                           | |
| | | |  Discretization : /Mesh/object-13          | |                                                                                           | |
| | | | +----------------------------------------+ | |                                                                                           | |
| | | | | Import configuration                   | | |                                                                                           | |
| | | | +----------------------------------------+ | |                                                                                           | |
| | | | |  geo-filename          :               | | |                                                                                           | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                           | |
| | | | |  generate-partitioning : 0             | | |                                                                                           | |
| | | | +----------------------------------------+ | |                                                                                           | |
| | | | +-------------------------------+          | |                                                                                           | |
| | | | | Discretization                |          | |                                                                                           | |
| | | | +-------------------------------+          | |                                                                                           | |
| | | | |  dim         : 2              |          | |                                                                                           | |
| | | | |  h_average   : 1.018751e-01   |          | |                                                                                           | |
| | | | |  h_max       : 1.168628e-01   |          | |                                                                                           | |
| | | | |  h_min       : 8.366122e-02   |          | |                                                                                           | |
| | | | |  n_elements  : 248            |          | |                                                                                           | |
| | | | |  n_faces     : 392            |          | |                                                                                           | |
| | | | |  n_partition : 1              |          | |                                                                                           | |
| | | | |  n_points    : 145            |          | |                                                                                           | |
| | | | |  order       : 1              |          | |                                                                                           | |
| | | | |  real_dim    : 2              |          | |                                                                                           | |
| | | | |  shape       : Simplex_2_1_2  |          | |                                                                                           | |
| | | | +-------------------------------+          | |                                                                                           | |
| | | +--------------------------------------------+ |                                                                                           | |
| | +------------------------------------------------+                                                                                           | |
| | +---------------------------------+                                                                                                          | |
| | | Boundary Conditions             |                                                                                                          | |
| | +---------------------------------+                                                                                                          | |
| | | +-----------------------------+ |                                                                                                          | |
| | | | Dirichlet                   | |                                                                                                          | |
| | | +-----------------------------+ |                                                                                                          | |
| | | | +-------------------------+ | |                                                                                                          | |
| | | | | g                       | | |                                                                                                          | |
| | | | +-------------------------+ | |                                                                                                          | |
| | | | |  method  : elimination  | | |                                                                                                          | |
| | | | |  expr    : 0            | | |                                                                                                          | |
| | | | |  markers :  Gamma_D     | | |                                                                                                          | |
| | | | +-------------------------+ | |                                                                                                          | |
| | | +-----------------------------+ |                                                                                                          | |
| | +---------------------------------+                                                                                                          | |
| | +------------------------------------+                                                                                                       | |
| | | Function Spaces                    |                                                                                                       | |
| | +------------------------------------+                                                                                                       | |
| | | +--------------------------------+ |                                                                                                       | |
| | | | Potential                      | |                                                                                                       | |
| | | +--------------------------------+ |                                                                                                       | |
| | | |  mesh   : /Mesh/object-13      | |                                                                                                       | |
| | | |  nSpace : 1                    | |                                                                                                       | |
| | | | +----------------------------+ | |                                                                                                       | |
| | | | | Basis                      | | |                                                                                                       | |
| | | | +----------------------------+ | |                                                                                                       | |
| | | | |  is_continuous : 1         | | |                                                                                                       | |
| | | | |  nComponents   : 1         | | |                                                                                                       | |
| | | | |  nComponents1  : 1         | | |                                                                                                       | |
| | | | |  nComponents2  : 1         | | |                                                                                                       | |
| | | | |  nLocalDof     : 3         | | |                                                                                                       | |
| | | | |  name          : lagrange  | | |                                                                                                       | |
| | | | |  order         : 1         | | |                                                                                                       | |
| | | | |  shape         : scalar    | | |                                                                                                       | |
| | | | +----------------------------+ | |                                                                                                       | |
| | | | +--------------+               | |                                                                                                       | |
| | | | | Dof Table    |               | |                                                                                                       | |
| | | | +--------------+               | |                                                                                                       | |
| | | | |  nDof : 145  |               | |                                                                                                       | |
| | | | +--------------+               | |                                                                                                       | |
| | | +--------------------------------+ |                                                                                                       | |
| | +------------------------------------+                                                                                                       | |
| | +-------------------------------------------------+                                                                                          | |
| | | Fields                                          |                                                                                          | |
| | +-------------------------------------------------+                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | | Potential                                   | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | |  base symbol    : u                         | |                                                                                          | |
| | | |  function space : /FunctionSpace/object-12  | |                                                                                          | |
| | | |  name           : Potential                 | |                                                                                          | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | | Potential_previous                          | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | |  base symbol    : u_previous                | |                                                                                          | |
| | | |  function space : /FunctionSpace/object-12  | |                                                                                          | |
| | | |  name           : Potential_previous        | |                                                                                          | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | | Potential_remove_trial                      | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | | |  base symbol    : u_rt                      | |                                                                                          | |
| | | |  function space : /FunctionSpace/object-12  | |                                                                                          | |
| | | |  name           : Potential_remove_trial    | |                                                                                          | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                          | |
| | | +---------------------------------------------+ |                                                                                          | |
| | +-------------------------------------------------+                                                                                          | |
| +----------------------------------------------------------------------------------------------------------------------------------------------+ |
+--------------------------------------------------------------------------------------------------------------------------------------------------+

No description has been provided for this image
Solving using Scimba
>> load network /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
network was not loaded from file: training needed
epoch     0: current loss = 9.97e-01
epoch     0: best loss = 9.97e-01
epoch     1: best loss = 6.29e-01
epoch     2: best loss = 3.18e-01
epoch     3: best loss = 1.26e-01
epoch     7: best loss = 1.20e-01
epoch     8: best loss = 9.27e-02
epoch    13: best loss = 8.91e-02
epoch    27: best loss = 8.87e-02
epoch    41: best loss = 8.56e-02
epoch    55: best loss = 8.49e-02
epoch    56: best loss = 8.41e-02
epoch    58: best loss = 8.23e-02
epoch    61: best loss = 7.83e-02
epoch    65: best loss = 7.65e-02
epoch    66: best loss = 7.53e-02
epoch    68: best loss = 7.03e-02
epoch    69: best loss = 6.80e-02
epoch    70: best loss = 6.10e-02
epoch    71: best loss = 5.86e-02
epoch    72: best loss = 5.15e-02
epoch    73: best loss = 4.65e-02
epoch    74: best loss = 4.56e-02
epoch    78: best loss = 4.17e-02
epoch    79: best loss = 3.38e-02
epoch    80: best loss = 3.37e-02
epoch    81: best loss = 3.08e-02
epoch    84: best loss = 3.04e-02
epoch    94: best loss = 2.87e-02
epoch    97: best loss = 2.81e-02
epoch    99: best loss = 2.69e-02
epoch   109: best loss = 2.67e-02
epoch   112: best loss = 2.53e-02
epoch   115: best loss = 2.49e-02
epoch   117: best loss = 2.25e-02
epoch   120: best loss = 2.18e-02
epoch   124: best loss = 2.00e-02
epoch   132: best loss = 1.96e-02
epoch   134: best loss = 1.94e-02
epoch   139: best loss = 1.93e-02
epoch   154: best loss = 1.86e-02
epoch   155: best loss = 1.82e-02
epoch   158: best loss = 1.80e-02
epoch   162: best loss = 1.75e-02
epoch   164: best loss = 1.74e-02
epoch   167: best loss = 1.73e-02
epoch   168: best loss = 1.72e-02
epoch   170: best loss = 1.68e-02
epoch   173: best loss = 1.66e-02
epoch   175: best loss = 1.65e-02
epoch   176: best loss = 1.61e-02
epoch   183: best loss = 1.49e-02
epoch   184: best loss = 1.40e-02
epoch   188: best loss = 1.39e-02
epoch   193: best loss = 1.25e-02
epoch   197: best loss = 1.18e-02
epoch   201: best loss = 1.03e-02
epoch   203: best loss = 1.03e-02
epoch   205: best loss = 1.02e-02
epoch   206: best loss = 9.01e-03
epoch   207: best loss = 7.78e-03
epoch   208: best loss = 7.27e-03
epoch   209: best loss = 6.71e-03
epoch   210: best loss = 6.14e-03
epoch   211: best loss = 5.98e-03
epoch   213: best loss = 5.18e-03
epoch   223: best loss = 5.08e-03
epoch   224: best loss = 4.57e-03
epoch   228: best loss = 4.51e-03
epoch   233: best loss = 3.94e-03
epoch   234: best loss = 3.82e-03
epoch   238: best loss = 3.27e-03
epoch   239: best loss = 3.17e-03
epoch   242: best loss = 2.68e-03
epoch   262: best loss = 2.62e-03
epoch   296: best loss = 2.44e-03
epoch   298: best loss = 2.44e-03
epoch   303: best loss = 2.25e-03
epoch   304: best loss = 2.08e-03
epoch   322: best loss = 1.92e-03
epoch   323: best loss = 1.76e-03
epoch   337: best loss = 1.40e-03
epoch   377: best loss = 1.32e-03
epoch   424: best loss = 1.12e-03
epoch   452: best loss = 1.07e-03
epoch   480: best loss = 9.04e-04
epoch   494: best loss = 8.88e-04
epoch   500: current loss = 1.25e-03
epoch   502: best loss = 8.40e-04
epoch   524: best loss = 5.53e-04
epoch   562: best loss = 5.45e-04
epoch   584: best loss = 4.28e-04
epoch   599: current loss = 7.57e-04
load network: /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1/networks/test.pth
jsbdbshd
network loaded
No description has been provided for this image
In [ ]:
# 3D with varying anisotropy and non-homogeneous Dirichlet BC
P = Poisson(dim = 3)
P(h=0.08, diff='{1,0,0,0,x+1,0,0,0,1+x*y}', g = 'x', rhs='x*y*z', geofile = 'geo/cube.geo', plot='3d.png')
Solving the laplacian problem for hsize = 0.08...
[loadMesh] Loading mesh in format geo+msh: "/workspaces/2024-m1-scimba-feelpp/geo/cube.geo"
[loadMesh] Use default geo desc: /workspaces/2024-m1-scimba-feelpp/geo/cube.geo 0.08 
+---------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Toolbox::cfpdes-3d-p1 - Use Case Study                                                                                                                        |
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| +--------------------------------------------------------------------------------------+                                                                      |
| | Environment                                                                          |                                                                      |
| +--------------------------------------------------------------------------------------+                                                                      |
| |  prefix              : cfpdes                                                        |                                                                      |
| |  keyword             : cfpdes-3d-p1                                                  |                                                                      |
| |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                                      |
| |  number of processus : 1                                                             |                                                                      |
| +--------------------------------------------------------------------------------------+                                                                      |
| +---------------------------+                                                                                                                                 |
| | Materials Properties      |                                                                                                                                 |
| +---------------------------+                                                                                                                                 |
| |  number of materials : 1  |                                                                                                                                 |
| +---------------------------+                                                                                                                                 |
| +------------------------------------------------+                                                                                                            |
| | Meshes                                         |                                                                                                            |
| +------------------------------------------------+                                                                                                            |
| | +--------------------------------------------+ |                                                                                                            |
| | | Mesh : cfpdes-3d-p1                        | |                                                                                                            |
| | +--------------------------------------------+ |                                                                                                            |
| | |  Discretization : /Mesh/object-15          | |                                                                                                            |
| | | +----------------------------------------+ | |                                                                                                            |
| | | | Import configuration                   | | |                                                                                                            |
| | | +----------------------------------------+ | |                                                                                                            |
| | | |  geo-filename          :               | | |                                                                                                            |
| | | |  hsize                 : 1.000000e-01  | | |                                                                                                            |
| | | |  generate-partitioning : 0             | | |                                                                                                            |
| | | +----------------------------------------+ | |                                                                                                            |
| | | +-------------------------------+          | |                                                                                                            |
| | | | Discretization                |          | |                                                                                                            |
| | | +-------------------------------+          | |                                                                                                            |
| | | |  dim         : 3              |          | |                                                                                                            |
| | | |  h_average   : 1.254175e-01   |          | |                                                                                                            |
| | | |  h_max       : 1.686836e-01   |          | |                                                                                                            |
| | | |  h_min       : 7.692308e-02   |          | |                                                                                                            |
| | | |  n_edges     : 13802          |          | |                                                                                                            |
| | | |  n_elements  : 10288          |          | |                                                                                                            |
| | | |  n_faces     : 21787          |          | |                                                                                                            |
| | | |  n_partition : 1              |          | |                                                                                                            |
| | | |  n_points    : 2304           |          | |                                                                                                            |
| | | |  order       : 1              |          | |                                                                                                            |
| | | |  real_dim    : 3              |          | |                                                                                                            |
| | | |  shape       : Simplex_3_1_3  |          | |                                                                                                            |
| | | +-------------------------------+          | |                                                                                                            |
| | +--------------------------------------------+ |                                                                                                            |
| +------------------------------------------------+                                                                                                            |
| +----------------------------------+                                                                                                                          |
| | Algebraic Solver                 |                                                                                                                          |
| +----------------------------------+                                                                                                                          |
| | +-------------------+            |                                                                                                                          |
| | | Backend           |            |                                                                                                                          |
| | +-------------------+            |                                                                                                                          |
| | |  prefix : cfpdes  |            |                                                                                                                          |
| | |  type   : petsc   |            |                                                                                                                          |
| | +-------------------+            |                                                                                                                          |
| | +-----------------------------+  |                                                                                                                          |
| | | KSP                         |  |                                                                                                                          |
| | +-----------------------------+  |                                                                                                                          |
| | |  atol       : 1.000000e-50  |  |                                                                                                                          |
| | |  dtol       : 1.000000e+05  |  |                                                                                                                          |
| | |  maxit      : 1000          |  |                                                                                                                          |
| | |  reuse-prec : 0             |  |                                                                                                                          |
| | |  rtol       : 1.000000e-08  |  |                                                                                                                          |
| | |  type       : gmres         |  |                                                                                                                          |
| | +-----------------------------+  |                                                                                                                          |
| | +----------------------------+   |                                                                                                                          |
| | | SNES                       |   |                                                                                                                          |
| | +----------------------------+   |                                                                                                                          |
| | |  atol      : 1.000000e-50  |   |                                                                                                                          |
| | |  maxit     : 50            |   |                                                                                                                          |
| | |  reuse-jac : 0             |   |                                                                                                                          |
| | |  rtol      : 1.000000e-08  |   |                                                                                                                          |
| | |  stol      : 1.000000e-08  |   |                                                                                                                          |
| | +----------------------------+   |                                                                                                                          |
| | +-----------------------------+  |                                                                                                                          |
| | | KSP in SNES                 |  |                                                                                                                          |
| | +-----------------------------+  |                                                                                                                          |
| | |  maxit      : 1000          |  |                                                                                                                          |
| | |  reuse-prec : 0             |  |                                                                                                                          |
| | |  rtol       : 1.000000e-05  |  |                                                                                                                          |
| | +-----------------------------+  |                                                                                                                          |
| | +------------------------------+ |                                                                                                                          |
| | | PC                           | |                                                                                                                          |
| | +------------------------------+ |                                                                                                                          |
| | |  mat-solver-package : mumps  | |                                                                                                                          |
| | |  type               : lu     | |                                                                                                                          |
| | +------------------------------+ |                                                                                                                          |
| +----------------------------------+                                                                                                                          |
| +-----------------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | Toolbox Coefficient Form PDE : poisson_eq                                                                                                                 | |
| +-----------------------------------------------------------------------------------------------------------------------------------------------------------+ |
| | +--------------------------------------------------------------------------------------+                                                                  | |
| | | Environment                                                                          |                                                                  | |
| | +--------------------------------------------------------------------------------------+                                                                  | |
| | |  prefix              : cfpdes.poisson_eq                                             |                                                                  | |
| | |  keyword             : poisson_eq                                                    |                                                                  | |
| | |  root repository     : /workspaces/2024-m1-scimba-feelpp/feelppdb/feelpp_cfpde/np_1  |                                                                  | |
| | |  number of processus : 1                                                             |                                                                  | |
| | +--------------------------------------------------------------------------------------+                                                                  | |
| | +-------------------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | Physics                                                                                                                                               | | |
| | +-------------------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | | +---------------------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | poisson_eq                                                                                                                                        | | | |
| | | +---------------------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | | | +-----------------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | | poisson_eq                                                                                                                                    | | | | |
| | | | +-----------------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | | |  modeling : GenericPDE                                                                                                                        | | | | |
| | | | |  type     : poisson_eq                                                                                                                        | | | | |
| | | | |  name     : poisson_eq                                                                                                                        | | | | |
| | | | | +-------------------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | Parameters                                                                                                                                | | | | | |
| | | | | +-------------------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | | | +------+---------------------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | Name | Expression                | Symbol                          | Shape         | Components                                       | | | | | | |
| | | | | | +======+===========================+=================================+===============+==================================================+ | | | | | |
| | | | | | | c    | {1,0,0,0,1+x,0,0,0,1+x*y} | physics_poisson_eq_poisson_eq_c | tensor2 [3x3] | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | Symbol                             | Indices | | | | | | | |
| | | | | | |      |                           |                                 |               | +====================================+=========+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_00 | 0,0     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_01 | 0,1     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_02 | 0,2     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_10 | 1,0     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_11 | 1,1     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_12 | 1,2     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_20 | 2,0     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_21 | 2,1     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | |      |                           |                                 |               | | physics_poisson_eq_poisson_eq_c_22 | 2,2     | | | | | | | |
| | | | | | |      |                           |                                 |               | +------------------------------------+---------+ | | | | | | |
| | | | | | +------+---------------------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | | | f    | y*z*x                     | physics_poisson_eq_poisson_eq_f | scalar        |                                                  | | | | | | |
| | | | | | +------+---------------------------+---------------------------------+---------------+--------------------------------------------------+ | | | | | |
| | | | | +-------------------------------------------------------------------------------------------------------------------------------------------+ | | | | |
| | | | +-----------------------------------------------------------------------------------------------------------------------------------------------+ | | | |
| | | +---------------------------------------------------------------------------------------------------------------------------------------------------+ | | |
| | +-------------------------------------------------------------------------------------------------------------------------------------------------------+ | |
| | +------------------------------------------------+                                                                                                        | |
| | | Meshes                                         |                                                                                                        | |
| | +------------------------------------------------+                                                                                                        | |
| | | +--------------------------------------------+ |                                                                                                        | |
| | | | Mesh : poisson_eq                          | |                                                                                                        | |
| | | +--------------------------------------------+ |                                                                                                        | |
| | | |  Discretization : /Mesh/object-15          | |                                                                                                        | |
| | | | +----------------------------------------+ | |                                                                                                        | |
| | | | | Import configuration                   | | |                                                                                                        | |
| | | | +----------------------------------------+ | |                                                                                                        | |
| | | | |  geo-filename          :               | | |                                                                                                        | |
| | | | |  hsize                 : 1.000000e-01  | | |                                                                                                        | |
| | | | |  generate-partitioning : 0             | | |                                                                                                        | |
| | | | +----------------------------------------+ | |                                                                                                        | |
| | | | +-------------------------------+          | |                                                                                                        | |
| | | | | Discretization                |          | |                                                                                                        | |
| | | | +-------------------------------+          | |                                                                                                        | |
| | | | |  dim         : 3              |          | |                                                                                                        | |
| | | | |  h_average   : 1.254175e-01   |          | |                                                                                                        | |
| | | | |  h_max       : 1.686836e-01   |          | |                                                                                                        | |
| | | | |  h_min       : 7.692308e-02   |          | |                                                                                                        | |
| | | | |  n_edges     : 13802          |          | |                                                                                                        | |
| | | | |  n_elements  : 10288          |          | |                                                                                                        | |
| | | | |  n_faces     : 21787          |          | |                                                                                                        | |
| | | | |  n_partition : 1              |          | |                                                                                                        | |
| | | | |  n_points    : 2304           |          | |                                                                                                        | |
| | | | |  order       : 1              |          | |                                                                                                        | |
| | | | |  real_dim    : 3              |          | |                                                                                                        | |
| | | | |  shape       : Simplex_3_1_3  |          | |                                                                                                        | |
| | | | +-------------------------------+          | |                                                                                                        | |
| | | +--------------------------------------------+ |                                                                                                        | |
| | +------------------------------------------------+                                                                                                        | |
| | +---------------------------------+                                                                                                                       | |
| | | Boundary Conditions             |                                                                                                                       | |
| | +---------------------------------+                                                                                                                       | |
| | | +-----------------------------+ |                                                                                                                       | |
| | | | Dirichlet                   | |                                                                                                                       | |
| | | +-----------------------------+ |                                                                                                                       | |
| | | | +-------------------------+ | |                                                                                                                       | |
| | | | | g                       | | |                                                                                                                       | |
| | | | +-------------------------+ | |                                                                                                                       | |
| | | | |  method  : elimination  | | |                                                                                                                       | |
| | | | |  expr    : x            | | |                                                                                                                       | |
| | | | |  markers :  Gamma_D     | | |                                                                                                                       | |
| | | | +-------------------------+ | |                                                                                                                       | |
| | | +-----------------------------+ |                                                                                                                       | |
| | +---------------------------------+                                                                                                                       | |
| | +------------------------------------+                                                                                                                    | |
| | | Function Spaces                    |                                                                                                                    | |
| | +------------------------------------+                                                                                                                    | |
| | | +--------------------------------+ |                                                                                                                    | |
| | | | Potential                      | |                                                                                                                    | |
| | | +--------------------------------+ |                                                                                                                    | |
| | | |  mesh   : /Mesh/object-15      | |                                                                                                                    | |
| | | |  nSpace : 1                    | |                                                                                                                    | |
| | | | +----------------------------+ | |                                                                                                                    | |
| | | | | Basis                      | | |                                                                                                                    | |
| | | | +----------------------------+ | |                                                                                                                    | |
| | | | |  is_continuous : 1         | | |                                                                                                                    | |
| | | | |  nComponents   : 1         | | |                                                                                                                    | |
| | | | |  nComponents1  : 1         | | |                                                                                                                    | |
| | | | |  nComponents2  : 1         | | |                                                                                                                    | |
| | | | |  nLocalDof     : 4         | | |                                                                                                                    | |
| | | | |  name          : lagrange  | | |                                                                                                                    | |
| | | | |  order         : 1         | | |                                                                                                                    | |
| | | | |  shape         : scalar    | | |                                                                                                                    | |
| | | | +----------------------------+ | |                                                                                                                    | |
| | | | +---------------+              | |                                                                                                                    | |
| | | | | Dof Table     |              | |                                                                                                                    | |
| | | | +---------------+              | |                                                                                                                    | |
| | | | |  nDof : 2304  |              | |                                                                                                                    | |
| | | | +---------------+              | |                                                                                                                    | |
| | | +--------------------------------+ |                                                                                                                    | |
| | +------------------------------------+                                                                                                                    | |
| | +-------------------------------------------------+                                                                                                       | |
| | | Fields                                          |                                                                                                       | |
| | +-------------------------------------------------+                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | | Potential                                   | |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | |  base symbol    : u                         | |                                                                                                       | |
| | | |  function space : /FunctionSpace/object-14  | |                                                                                                       | |
| | | |  name           : Potential                 | |                                                                                                       | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | | Potential_previous                          | |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | |  base symbol    : u_previous                | |                                                                                                       | |
| | | |  function space : /FunctionSpace/object-14  | |                                                                                                       | |
| | | |  name           : Potential_previous        | |                                                                                                       | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | | Potential_remove_trial                      | |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | | |  base symbol    : u_rt                      | |                                                                                                       | |
| | | |  function space : /FunctionSpace/object-14  | |                                                                                                       | |
| | | |  name           : Potential_remove_trial    | |                                                                                                       | |
| | | |  prefix symbol  : poisson_eq                | |                                                                                                       | |
| | | +---------------------------------------------+ |                                                                                                       | |
| | +-------------------------------------------------+                                                                                                       | |
| +-----------------------------------------------------------------------------------------------------------------------------------------------------------+ |
+---------------------------------------------------------------------------------------------------------------------------------------------------------------+

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